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% BibTeX Entries
@article {Andersen85,
    AUTHOR = {Andersen, H. H.},
     TITLE = {Schubert varieties and {D}emazure's character formula},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {79},
      YEAR = {1985},
    NUMBER = {3},
     PAGES = {611--618},
   MRCLASS = {14M15 (14F05 20G05)},
  MRNUMBER = {782239},
MRREVIEWER = {S. Ramanan},
       DOI = {10.1007/BF01388527},
       URL = {https://doi.org/10.1007/BF01388527},
}

@article{AS18:Demazure,
     author = {Assaf, Sami and Schilling, Anne},
     title = {A {D}emazure crystal construction for {S}chubert polynomials},
     journal = {Algebraic Combinatorics},
     publisher = {MathOA foundation},
     volume = {1},
     number = {2},
     year = {2018},
     pages = {225-247},
     doi = {10.5802/alco.13},
     zbl = {06882340},
     language = {en},
     url = {http://alco.centre-mersenne.org/item/ALCO_2018__1_2_225_0}
}

@article {AS18:Kohnert,
    AUTHOR = {Assaf, Sami and Searles, Dominic},
     TITLE = {Kohnert tableaux and a lifting of quasi-{S}chur functions},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {156},
      YEAR = {2018},
     PAGES = {85--118},
   MRCLASS = {05E05},
  MRNUMBER = {3762104},
       DOI = {10.1016/j.jcta.2018.01.001},
       URL = {https://doi.org/10.1016/j.jcta.2018.01.001},
}

@incollection{Assaf08,
    AUTHOR = {Assaf, Sami},
     TITLE = {A combinatorial realization of {S}chur-{W}eyl duality via
              crystal graphs and dual equivalence graphs},
 BOOKTITLE = {20th {I}nternational {C}onference on {F}ormal {P}ower {S}eries
              and {A}lgebraic {C}ombinatorics ({FPSAC} 2008)},
    SERIES = {Discrete Math. Theor. Comput. Sci. Proc., AS},
     PAGES = {141--152},
 PUBLISHER = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy},
      YEAR = {2008},
   MRCLASS = {05E15},
  MRNUMBER = {3090977},
}

@misc{AY20,
   author = {Amanov, A. and Yeliussizov, D.},
   title = {Determinantal formulas for dual {G}rothendieck polynomials},
   year = {2020},
   eprint = {2003.03907},
   eprinttype = {arxiv}
}

@article{B31,
 author               = {Bethe, H.},
 doi                  = {10.1007/BF01341708},
 journal              = {Zeitschrift f\"ur Physik},
 language             = {German},
 number               = {3-4},
 pages                = {205-226},
 publisher            = {Springer-Verlag},
 title                = {Zur {T}heorie der {M}etalle},
 url                  = {https://dx.doi.org/10.1007/BF01341708},
 volume               = {71},
 year                 = {1931},
 }

@book{B89,
 address              = {London},
 author               = {Baxter, Rodney J.},
 mrclass              = {82-02 (82A05 82A69)},
 mrnumber             = {998375 (90b:82001)},
 note                 = {Reprint of the 1982 original},
 pages                = {xii+486},
 publisher            = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]},
 title                = {Exactly solved models in statistical mechanics},
 year                 = {1989},
 }

@article{baker2000,
 author               = {Baker, Timothy H.},
 coden                = {KRMPBV},
 doi                  = {10.2977/prims/1195142873},
 fjournal             = {Kyoto University. Research Institute for Mathematical Sciences. Publications},
 journal              = {Publ. Res. Inst. Math. Sci.},
 mrclass              = {17B37 (05E15 81R50)},
 mrnumber             = {1794408 (2002k:17029)},
 mrreviewer           = {Kailash C. Misra},
 number               = {4},
 pages                = {533--572},
 title                = {Zero actions and energy functions for perfect crystals},
 url                  = {https://dx.doi.org/10.2977/prims/1195142873},
 volume               = {36},
 year                 = {2000},
 }

@book {BB05,
    AUTHOR = {Bj\"orner, Anders and Brenti, Francesco},
     TITLE = {Combinatorics of {C}oxeter groups},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {231},
 PUBLISHER = {Springer, New York},
      YEAR = {2005},
     PAGES = {xiv+363},
   MRCLASS = {05-01 (05E15 20F55)},
  MRNUMBER = {2133266},
MRREVIEWER = {Jian-yi Shi},
}

@unpublished{BBBG19,
   author = {Brubaker, Ben and Buciumas, Valentin and Bump, Daniel and Gustafsson, Henrik P. A.},
   title = {Coloured five-vertex models and {D}emazure atoms},
   year = {2019},
   url = {https://arxiv.org/abs/1902.01795},
   note = {Preprint, \arxiv{1902.01795}},
}

@unpublished{BBBGIwahori,
   author = {Brubaker, Ben and Buciumas, Valentin and Bump, Daniel and Gustafsson, Henrik P. A.},
   title = {Colored vertex models and {I}wahori {W}hittaker functions},
   year = {2019},
   url = {https://arxiv.org/abs/1906.04140},
   note = {Preprint, \arxiv{1906.04140}},
}

@article{BBW20,
   author = {Borodin, Alexei and Bufetov, Alexey and Wheeler, Michael},
   title = {Between the stochastic six vertex model and Hall-Littlewood processes},
   year = {2020},
   url = {https://arxiv.org/abs/1611.09486},
   note = {To appear},
   journal = {J. Combin. Theory Ser. A},
   fjournal = {Journal of Combinatorial Theory. Series A},
}

@article {BE90,
    AUTHOR = {Bressler, Paul and Evens, Sam},
     TITLE = {The {S}chubert calculus, braid relations, and generalized
              cohomology},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {317},
      YEAR = {1990},
    NUMBER = {2},
     PAGES = {799--811},
   MRCLASS = {57T15 (22E45 32M10 55N20)},
  MRNUMBER = {968883},
MRREVIEWER = {V. P. Snaith},
       DOI = {10.2307/2001488},
       URL = {https://doi.org/10.2307/2001488},
}

@incollection {BBCFG12,
    AUTHOR = {Brubaker, Ben and Bump, Daniel and Chinta, Gautam and
              Friedberg, Solomon and Gunnells, Paul E.},
     TITLE = {Metaplectic ice},
 BOOKTITLE = {Multiple {D}irichlet series, {L}-functions and automorphic
              forms},
    SERIES = {Progr. Math.},
    VOLUME = {300},
     PAGES = {65--92},
 PUBLISHER = {Birkh\"auser/Springer, New York},
      YEAR = {2012},
   MRCLASS = {11M32 (22E50)},
  MRNUMBER = {2952572},
MRREVIEWER = {Goran Mui\'c},
       DOI = {10.1007/978-0-8176-8334-4_3},
       URL = {https://doi.org/10.1007/978-0-8176-8334-4_3},
}

@article {BBF11,
    AUTHOR = {Brubaker, Ben and Bump, Daniel and Friedberg, Solomon},
     TITLE = {Schur polynomials and the {Y}ang-{B}axter equation},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {308},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {281--301},
   MRCLASS = {82B23 (16T25)},
  MRNUMBER = {2851143},
MRREVIEWER = {Chengming Bai},
       DOI = {10.1007/s00220-011-1345-3},
       URL = {https://doi.org/10.1007/s00220-011-1345-3},
}

@article {BBF11b,
    AUTHOR = {Brubaker, Ben and Bump, Daniel and Friedberg, Solomon},
     TITLE = {Weyl group multiple {D}irichlet series, {E}isenstein series
              and crystal bases},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {173},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {1081--1120},
   MRCLASS = {11F68 (11F30 11F70 11M32)},
  MRNUMBER = {2776371},
MRREVIEWER = {Anton Deitmar},
       DOI = {10.4007/annals.2011.173.2.13},
       URL = {https://doi.org/10.4007/annals.2011.173.2.13},
}

@article {BC15,
    AUTHOR = {Borodin, Alexei and Corwin, Ivan},
     TITLE = {Discrete time {$q$}-{TASEP}s},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2015},
    NUMBER = {2},
     PAGES = {499--537},
   MRCLASS = {82C22},
  MRNUMBER = {3340328},
MRREVIEWER = {Valeria Ricci},
       DOI = {10.1093/imrn/rnt206},
       URL = {https://doi.org/10.1093/imrn/rnt206},
}

@article{BG01,
 author               = {Braverman, Alexander and Gaitsgory, Dennis},
 coden                = {DUMJAO},
 doi                  = {10.1215/S0012-7094-01-10736-9},
 fjournal             = {Duke Mathematical Journal},
 journal              = {Duke Math. J.},
 mrclass              = {20G05 (14F05)},
 mrnumber             = {1828302 (2002e:20083)},
 mrreviewer           = {Andrew Mathas},
 number               = {3},
 pages                = {561--575},
 title                = {Crystals via the affine {G}rassmannian},
 url                  = {https://dx.doi.org/10.1215/S0012-7094-01-10736-9},
 volume               = {107},
 year                 = {2001},
 }

@article {BFKL06,
    AUTHOR = {Benkart, Georgia and Frenkel, Igor and Kang, Seok-Jin and Lee,
              Hyeonmi},
     TITLE = {Level 1 perfect crystals and path realizations of basic
              representations at {$q=0$}},
   JOURNAL = {Int. Math. Res. Not.},
  FJOURNAL = {International Mathematics Research Notices},
      YEAR = {2006},
     PAGES = {Art. ID 10312, 28},
   MRCLASS = {17B67 (17B37)},
  MRNUMBER = {2272099 (2007i:17030)},
MRREVIEWER = {Alistair Savage},
       DOI = {10.1155/IMRN/2006/10312},
       URL = {https://dx.doi.org/10.1155/IMRN/2006/10312},
}

@article {BK00,
    AUTHOR = {Berenstein, Arkady and Kazhdan, David},
     TITLE = {Geometric and unipotent crystals},
      NOTE = {GAFA 2000 (Tel Aviv, 1999)},
   JOURNAL = {Geom. Funct. Anal.},
  FJOURNAL = {Geometric and Functional Analysis},
      YEAR = {2000},
    NUMBER = {Special Volume, Part I},
     PAGES = {188--236},
     CODEN = {GFANFB},
   MRCLASS = {17B37 (14M15 22E47)},
  MRNUMBER = {1826254 (2003b:17013)},
MRREVIEWER = {Jonathan Brundan},
       DOI = {10.1007/978-3-0346-0422-2_8},
       URL = {https://dx.doi.org/10.1007/978-3-0346-0422-2_8},
}

@incollection {BK07,
    AUTHOR = {Berenstein, Arkady and Kazhdan, David},
     TITLE = {Geometric and unipotent crystals. {II}. {F}rom unipotent
              bicrystals to crystal bases},
 BOOKTITLE = {Quantum groups},
    SERIES = {Contemp. Math.},
    VOLUME = {433},
     PAGES = {13--88},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2007},
   MRCLASS = {17B37 (14L30 22E47)},
  MRNUMBER = {2349617 (2009b:17030)},
MRREVIEWER = {Jonathan Brundan},
       DOI = {10.1090/conm/433/08321},
       URL = {https://dx.doi.org/10.1090/conm/433/08321},
}

@article {BKSTY08,
    AUTHOR = {Buch, Anders Skovsted and Kresch, Andrew and Shimozono, Mark
              and Tamvakis, Harry and Yong, Alexander},
     TITLE = {Stable {G}rothendieck polynomials and {$K$}-theoretic factor
              sequences},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {340},
      YEAR = {2008},
    NUMBER = {2},
     PAGES = {359--382},
   MRCLASS = {05E15 (05E05 05E10 14M15)},
  MRNUMBER = {2368984},
MRREVIEWER = {Frank Sottile},
       DOI = {10.1007/s00208-007-0155-6},
       URL = {https://doi.org/10.1007/s00208-007-0155-6},
}

@article {BPS16,
    AUTHOR = {Bloom, Jonathan and Pechenik, Oliver and Saracino, Dan},
     TITLE = {Proofs and generalizations of a homomesy conjecture of {P}ropp
              and {R}oby},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {339},
      YEAR = {2016},
    NUMBER = {1},
     PAGES = {194--206},
   MRCLASS = {05E18 (06A07 20B25)},
  MRNUMBER = {3404481},
MRREVIEWER = {Konrad P. Pi\'oro},
       DOI = {10.1016/j.disc.2015.08.011},
       URL = {https://doi.org/10.1016/j.disc.2015.08.011},
}

@article {BR01,
    AUTHOR = {Baik, J. and Rains, E. M.},
     TITLE = {Algebraic aspects of increasing subsequences},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {109},
      YEAR = {2001},
    NUMBER = {1},
     PAGES = {1--65},
   MRCLASS = {05E15 (05A15 05E05 60C05)},
  MRNUMBER = {1844203},
MRREVIEWER = {Ira Gessel},
       DOI = {10.1215/S0012-7094-01-10911-3},
       URL = {https://doi.org/10.1215/S0012-7094-01-10911-3},
}

@article {BS16,
    AUTHOR = {Buch, Anders Skovsted and Samuel, Matthew J.},
     TITLE = {{$K$}-theory of minuscule varieties},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik. [Crelle's
              Journal]},
    VOLUME = {719},
      YEAR = {2016},
     PAGES = {133--171},
   MRCLASS = {19E99 (14M15)},
  MRNUMBER = {3552494},
MRREVIEWER = {Thomas Benedict Williams},
       DOI = {10.1515/crelle-2014-0051},
       URL = {https://doi.org/10.1515/crelle-2014-0051},
}

@book {BS17,
    AUTHOR = {Bump, Daniel and Schilling, Anne},
     TITLE = {Crystal bases},
      NOTE = {Representations and combinatorics},
 PUBLISHER = {World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ},
      YEAR = {2017},
     PAGES = {xii+279},
   MRCLASS = {05-01 (05E10 14T05 17B10)},
  MRNUMBER = {3642318},
       DOI = {10.1142/9876},
       URL = {https://dx.doi.org/10.1142/9876},
}

@article {BSS96,
    AUTHOR = {Benkart, Georgia and Sottile, Frank and Stroomer, Jeffrey},
     TITLE = {Tableau switching: algorithms and applications},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {76},
      YEAR = {1996},
    NUMBER = {1},
     PAGES = {11--43},
   MRCLASS = {05E10 (05E05)},
  MRNUMBER = {1405988},
MRREVIEWER = {Bernard Leclerc},
       DOI = {10.1006/jcta.1996.0086},
       URL = {https://doi.org/10.1006/jcta.1996.0086},
}

@article{BSW20,
   author = {Buciumas, Valentin and Scrimshaw, Travis and Weber, Katherine},
   title = {Colored five-vertex models and {L}ascoux polynomials and atoms},
   year = {2020},
   journal = {J. Lond. Math. Soc.},
   fjournal = {Journal of the London Mathematical Society. Second Series},
   url = {https://arxiv.org/abs/1908.07364},
   note = {To appear, \arxiv{1908.07364}},
}

@article {Buch02,
    AUTHOR = {Buch, Anders Skovsted},
     TITLE = {A {L}ittlewood-{R}ichardson rule for the {$K$}-theory of
              {G}rassmannians},
   JOURNAL = {Acta Math.},
  FJOURNAL = {Acta Mathematica},
    VOLUME = {189},
      YEAR = {2002},
    NUMBER = {1},
     PAGES = {37--78},
     CODEN = {ACMAA8},
   MRCLASS = {14M15 (05E05 05E15)},
  MRNUMBER = {1946917},
MRREVIEWER = {Frank Sottile},
       DOI = {10.1007/BF02392644},
       URL = {https://dx.doi.org/10.1007/BF02392644},
}

@article {Borodin17,
    AUTHOR = {Borodin, Alexei},
     TITLE = {On a family of symmetric rational functions},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {306},
      YEAR = {2017},
     PAGES = {973--1018},
   MRCLASS = {82C22 (05E05 33C52 81P45)},
  MRNUMBER = {3581324},
       DOI = {10.1016/j.aim.2016.10.040},
       URL = {https://doi.org/10.1016/j.aim.2016.10.040},
}

@unpublished{BorodinWheelerColored,
   author = {Alexei Borodin and Michael Wheeler},
   title = {Coloured stochastic vertex models and their spectral theory},
   year = {2018},
   url = {https://arxiv.org/abs/1808.01866},
   note = {Preprint, \arxiv{1808.01866}},
}

@unpublished{BorodinWheelernsMac,
   author = {Alexei Borodin and Michael Wheeler},
   title = {Nonsymmetric {M}acdonald polynomials via integrable vertex models},
   year = {2019},
   url = {https://arxiv.org/abs/1904.06804},
   note = {Preprint, \arxiv{1904.06804}},
}

@article{Cetal:10,
 author               = {Carbone, Lisa and Chung, Sjuvon and Cobbs, Leigh and McRae, Robert and Nandi, Debajyoti and Naqvi, Yusra and Penta, Diego},
 doi                  = {10.1088/1751-8113/43/15/155209},
 fjournal             = {Journal of Physics. A. Mathematical and Theoretical},
 journal              = {J. Phys. A},
 mrclass              = {17B22 (17B67 81R10)},
 mrnumber             = {2608277 (2011e:17014)},
 mrreviewer           = {Duncan J. Melville},
 number               = {15},
 pages                = {155209, 30},
 title                = {Classification of hyperbolic {D}ynkin diagrams, root lengths and {W}eyl group orbits},
 url                  = {https://dx.doi.org/10.1088/1751-8113/43/15/155209},
 volume               = {43},
 year                 = {2010},
 }

@article{CGP16,
   author = {Chmutov, Michael and Glick, Max and Pylyavskyy, Pavlo},
   title = {The {B}erenstein-{K}irillov group and cactus groups},
   journal = {J. Comb. Algebra},
   year = {2016},
   url = {https://arxiv.org/abs/1609.02046},
   note = {To appear, \arxiv{1609.02046}},
}

@article {CLL02,
    AUTHOR = {Chen, W. Y. C. and Li, B. and Louck, J. D.},
     TITLE = {The flagged double {S}chur function},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {15},
      YEAR = {2002},
    NUMBER = {1},
     PAGES = {7--26},
   MRCLASS = {05E05 (05E10)},
  MRNUMBER = {1879657},
       DOI = {10.1023/A:1013217015135},
       URL = {https://doi.org/10.1023/A:1013217015135},
}

@incollection {CM07,
    AUTHOR = {Chari, Vyjayanthi and Moura, Adriano},
     TITLE = {Kirillov-{R}eshetikhin modules associated to {$G_2$}},
 BOOKTITLE = {Lie algebras, vertex operator algebras and their applications},
    SERIES = {Contemp. Math.},
    VOLUME = {442},
     PAGES = {41--59},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2007},
   MRCLASS = {17B65},
  MRNUMBER = {2372556 (2009i:17036)},
MRREVIEWER = {Shaobin Tan},
       DOI = {10.1090/conm/442/08519},
       URL = {https://dx.doi.org/10.1090/conm/442/08519},
}

@article{CMP19,
   author = {Corwin, Ivan and Matveev, Konstantin and Petrov, Leonid},
   title = {The {$q$}-{H}ahn {P}ush{TASEP}},
   year = {2019},
   url = {https://arxiv.org/abs/1811.06475},
   volume = {rnz106},
   note = {To appear},
   journal = {Int. Math. Res. Not. IMRN},
   fjournal = {International Mathematics Research Notices. IMRN},
   doi = {10.1093/imrn/rnz106},
}

@article {CNS16,
    AUTHOR = {Crawford, Nicholas and Ng, Stephen and Starr, Shannon},
     TITLE = {Emptiness formation probability},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {345},
      YEAR = {2016},
    NUMBER = {3},
     PAGES = {881--922},
   MRCLASS = {82B10},
  MRNUMBER = {3519585},
       DOI = {10.1007/s00220-016-2689-5},
       URL = {https://doi.org/10.1007/s00220-016-2689-5},
}

@article {Corwin15,
    AUTHOR = {Corwin, Ivan},
     TITLE = {The {$q$}-{H}ahn boson process and {$q$}-{H}ahn {TASEP}},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2015},
    NUMBER = {14},
     PAGES = {5577--5603},
   MRCLASS = {60K35},
  MRNUMBER = {3384450},
MRREVIEWER = {Patr\'{\i}cia Gon\c{c}alves},
       DOI = {10.1093/imrn/rnu094},
       URL = {https://doi.org/10.1093/imrn/rnu094},
}

@misc{combinat,
 author               = {The {S}age-{C}ombinat community},
 note                 = {\url{http://combinat.sagemath.org}},
 title                = {{S}age-{C}ombinat: enhancing {S}age as a toolbox for computer exploration in algebraic combinatorics},
 year                 = {2008},
 }

@incollection{CP95,
    AUTHOR = {Chari, Vyjayanthi and Pressley, Andrew},
     TITLE = {Quantum affine algebras and their representations},
 BOOKTITLE = {Representations of groups ({B}anff, {AB}, 1994)},
    SERIES = {CMS Conf. Proc.},
    VOLUME = {16},
     PAGES = {59--78},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {1995},
   MRCLASS = {17B37 (16W30 81R50)},
  MRNUMBER = {1357195 (96j:17009)},
MRREVIEWER = {Preeti Parashar},
}

@article{CP98,
    AUTHOR = {Chari, Vyjayanthi and Pressley, Andrew},
     TITLE = {Twisted quantum affine algebras},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {196},
      YEAR = {1998},
    NUMBER = {2},
     PAGES = {461--476},
     CODEN = {CMPHAY},
   MRCLASS = {16W30 (17B37 81R50)},
  MRNUMBER = {1645027 (99f:16041)},
MRREVIEWER = {Wen-li Yang},
       DOI = {10.1007/s002200050431},
       URL = {https://dx.doi.org/10.1007/s002200050431},
}

@article {CP16,
    AUTHOR = {Corwin, Ivan and Petrov, Leonid},
     TITLE = {Stochastic higher spin vertex models on the line},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {343},
      YEAR = {2016},
    NUMBER = {2},
     PAGES = {651--700},
   MRCLASS = {82B23 (60K35 82C23)},
  MRNUMBER = {3477349},
MRREVIEWER = {Aernout C. D. van Enter},
       DOI = {10.1007/s00220-015-2479-5},
       URL = {https://doi.org/10.1007/s00220-015-2479-5},
}

@unpublished {CP19,
 author = {Chan, Melody and Pflueger, Nathan},
  title = {Combinatorial relations on skew {S}chur and skew stable {G}rothendieck polynomials},
   year = {2019},
    url = {https://arxiv.org/abs/1909.12833},
   note = {Preprint, \arxiv{1909.12833}},
 }

@article {CPS16,
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    VOLUME = {49},
      YEAR = {2016},
    NUMBER = {41},
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   MRCLASS = {82B20},
  MRNUMBER = {3556195},
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       URL = {https://doi.org/10.1088/1751-8113/49/41/415203},
}

@book {Davis08,
    AUTHOR = {Davis, Michael W.},
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    SERIES = {London Mathematical Society Monographs Series},
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 PUBLISHER = {Princeton University Press, Princeton, NJ},
      YEAR = {2008},
     PAGES = {xvi+584},
   MRCLASS = {20F55 (05B45 05C25 51-02 57M07)},
  MRNUMBER = {2360474},
MRREVIEWER = {Ralf Koehl},
}

@article {Demazure74,
    AUTHOR = {Demazure, Michel},
     TITLE = {Une nouvelle formule des caract\`eres},
   JOURNAL = {Bull. Sci. Math. (2)},
  FJOURNAL = {Bulletin des Sciences Math\'ematiques. 2e S\'erie},
    VOLUME = {98},
      YEAR = {1974},
    NUMBER = {3},
     PAGES = {163--172},
   MRCLASS = {17B10 (20G05)},
  MRNUMBER = {0430001},
MRREVIEWER = {S. I. Gelfand},
}

@article {Demazure74II,
    AUTHOR = {Demazure, Michel},
     TITLE = {D\'{e}singularisation des vari\'{e}t\'{e}s de {S}chubert g\'{e}n\'{e}ralis\'{e}es},
      NOTE = {Collection of articles dedicated to Henri Cartan on the
              occasion of his 70th birthday, I},
   JOURNAL = {Ann. Sci. \'{E}cole Norm. Sup. (4)},
  FJOURNAL = {Annales Scientifiques de l'\'{E}cole Normale Sup\'{e}rieure. Quatri\`eme
              S\'{e}rie},
    VOLUME = {7},
      YEAR = {1974},
     PAGES = {53--88},
   MRCLASS = {14M15 (20G05)},
  MRNUMBER = {0354697},
MRREVIEWER = {S. I. Gelfand},
       URL = {http://www.numdam.org/item?id=ASENS_1974_4_7_1_53_0},
}

@incollection {DKJM83,
    AUTHOR = {Date, Etsur{\={o}} and Kashiwara, Masaki and Jimbo, Michio and Miwa,
              Tetsuji},
     TITLE = {Transformation groups for soliton equations},
 BOOKTITLE = {Nonlinear integrable systems---classical theory and quantum
              theory ({K}yoto, 1981)},
     PAGES = {39--119},
 PUBLISHER = {World Sci. Publishing, Singapore},
      YEAR = {1983},
   MRCLASS = {58F37 (17B67 35Q20 58F07 81E05)},
  MRNUMBER = {725700},
MRREVIEWER = {I. S. Krasil\cprime shchik},
}

@article {DPPP12,
    AUTHOR = {Derbyshev, A. E. and Poghosyan, S. S. and Povolotsky, A. M.
              and Priezzhev, V. B.},
     TITLE = {The totally asymmetric exclusion process with generalized
              update},
   JOURNAL = {J. Stat. Mech. Theory Exp.},
  FJOURNAL = {Journal of Statistical Mechanics: Theory and Experiment},
      YEAR = {2012},
    NUMBER = {5},
     PAGES = {P05014, 13},
   MRCLASS = {82C23},
  MRNUMBER = {2967658},
       DOI = {10.1088/1742-5468/2012/05/p05014},
       URL = {https://doi.org/10.1088/1742-5468/2012/05/p05014},
}

@article {DPP15,
    AUTHOR = {Derbyshev, A. E. and Povolotsky, A. M. and Priezzhev, V. B.},
     TITLE = {Emergence of jams in the generalized totally asymmetric simple exclusion process},
   JOURNAL = {Physical Review E},
    VOLUME = {19.2},
      YEAR = {2015},
     PAGES = {022125},
       URL = {https://arxiv.org/abs/1410.2874},
}

@article{DS06,
 author               = {Deka, Lipika and Schilling, Anne},
 coden                = {JCBTA7},
 doi                  = {10.1016/j.jcta.2006.01.003},
 fjournal             = {Journal of Combinatorial Theory. Series A},
 journal              = {J. Combin. Theory Ser. A},
 mrclass              = {05E05 (17B37 81R10)},
 mrnumber             = {2259070 (2008g:05219)},
 mrreviewer           = {Hiro-Fumi Yamada},
 number               = {7},
 pages                = {1435--1461},
 title                = {New fermionic formula for unrestricted {K}ostka polynomials},
 url                  = {https://dx.doi.org/10.1016/j.jcta.2006.01.003},
 volume               = {113},
 year                 = {2006},
 }

@book {ECII,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Enumerative combinatorics. {V}ol. 2},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {62},
      NOTE = {With a foreword by Gian-Carlo Rota and appendix 1 by S.
              Fomin},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1999},
     PAGES = {xii+581},
   MRCLASS = {05A15 (05-02 05E05 05E10 68R05)},
  MRNUMBER = {1676282},
MRREVIEWER = {Ira Gessel},
       DOI = {10.1017/CBO9780511609589},
       URL = {https://dx.doi.org/10.1017/CBO9780511609589},
}

@article {EG87,
    AUTHOR = {Edelman, Paul and Greene, Curtis},
     TITLE = {Balanced tableaux},
   JOURNAL = {Adv. in Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {63},
      YEAR = {1987},
    NUMBER = {1},
     PAGES = {42--99},
   MRCLASS = {05A17 (20B30 20C30)},
  MRNUMBER = {871081},
MRREVIEWER = {Joseph Kung},
       DOI = {10.1016/0001-8708(87)90063-6},
       URL = {https://doi.org/10.1016/0001-8708(87)90063-6},
}

@article{EV17,
    AUTHOR = {Espiro, J. Lorca and Volk, Luke},
     TITLE = {Crystals from 5-vertex ice models},
   JOURNAL = {J. Lie Theory},
  FJOURNAL = {Journal of Lie Theory},
    VOLUME = {28},
      YEAR = {2018},
    NUMBER = {4},
     PAGES = {1119--1136},
   MRCLASS = {17B37},
  MRNUMBER = {3863894},
}

@article {FG98,
    AUTHOR = {Fomin, S. and Greene, Curtis},
     TITLE = {Noncommutative {S}chur functions and their applications},
      NOTE = {Selected papers in honor of Adriano Garsia (Taormina, 1994)},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {193},
      YEAR = {1998},
    NUMBER = {1-3},
     PAGES = {179--200},
   MRCLASS = {05E05 (20C30)},
  MRNUMBER = {1661368},
MRREVIEWER = {Ernesto Vallejo},
       DOI = {10.1016/S0012-365X(98)00140-X},
       URL = {https://doi.org/10.1016/S0012-365X(98)00140-X},
}

@incollection {FK94,
    AUTHOR = {Fomin, S. and Kirillov, A. N.},
     TITLE = {Grothendieck polynomials and the {Y}ang-{B}axter equation},
 BOOKTITLE = {Formal power series and algebraic combinatorics/{S}\'eries
              formelles et combinatoire alg\'ebrique},
     PAGES = {183--189},
 PUBLISHER = {DIMACS, Piscataway, NJ},
      YEAR = {1994},
   MRCLASS = {05E05 (14N15)},
  MRNUMBER = {2307216},
}

@article{FOS09,
 author               = {Fourier, Ghislain and Okado, Masato and Schilling, Anne},
 coden                = {ADMTA4},
 doi                  = {10.1016/j.aim.2009.05.020},
 fjournal             = {Advances in Mathematics},
 journal              = {Adv. Math.},
 mrclass              = {17B37 (17B10 17B67)},
 mrnumber             = {2553378 (2010j:17028)},
 mrreviewer           = {Kailash C. Misra},
 number               = {3},
 pages                = {1080--1116},
 title                = {Kirillov-{R}eshetikhin crystals for nonexceptional types},
 url                  = {https://dx.doi.org/10.1016/j.aim.2009.05.020},
 volume               = {222},
 year                 = {2009},
 }

@article{FOS10,
    AUTHOR = {Fourier, Ghislain and Okado, Masato and Schilling, Anne},
     TITLE = {Perfectness of {K}irillov-{R}eshetikhin crystals for
              nonexceptional types},
 BOOKTITLE = {Quantum affine algebras, extended affine {L}ie algebras, and
              their applications},
    Journal = {Contemp. Math.},
    VOLUME = {506},
     PAGES = {127--143},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2010},
   MRCLASS = {17B37 (05E99)},
  MRNUMBER = {2642564 (2011b:17031)},
MRREVIEWER = {Jonathan Brundan},
       DOI = {10.1090/conm/506/09938},
       URL = {https://dx.doi.org/10.1090/conm/506/09938},
}

@article {FSS.2007,
    AUTHOR = {Fourier, Ghislain and Schilling, Anne and Shimozono, Mark},
     TITLE = {Demazure structure inside {K}irillov-{R}eshetikhin crystals},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {309},
      YEAR = {2007},
    NUMBER = {1},
     PAGES = {386--404},
     CODEN = {JALGA4},
   MRCLASS = {17B37},
  MRNUMBER = {2301245 (2008b:17018)},
MRREVIEWER = {Peter W. Tingley},
       DOI = {10.1016/j.jalgebra.2006.09.019},
       URL = {https://dx.doi.org/10.1016/j.jalgebra.2006.09.019},
}

@book {Fulton,
    AUTHOR = {Fulton, William},
     TITLE = {Young tableaux},
    SERIES = {London Mathematical Society Student Texts},
    VOLUME = {35},
      NOTE = {With applications to representation theory and geometry},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1997},
     PAGES = {x+260},
}

@book {FH91,
    AUTHOR = {Fulton, William and Harris, Joe},
     TITLE = {Representation theory},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {129},
      NOTE = {A first course,
              Readings in Mathematics},
 PUBLISHER = {Springer-Verlag, New York},
      YEAR = {1991},
     PAGES = {xvi+551},
   MRCLASS = {20G05 (17B10 20G20 22E46)},
  MRNUMBER = {1153249},
MRREVIEWER = {James E. Humphreys},
       DOI = {10.1007/978-1-4612-0979-9},
       URL = {https://doi.org/10.1007/978-1-4612-0979-9},
}

@article {GGL16,
    AUTHOR = {Galashin, P. and Grinberg, D. and Liu, G.},
     TITLE = {Refined dual stable {G}rothendieck polynomials and generalized
              {B}ender--{K}nuth involutions},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {23},
      YEAR = {2016},
    NUMBER = {3},
     PAGES = {\#3.14, 28},
   MRCLASS = {05E05 (05A17)},
  MRNUMBER = {3558051},
MRREVIEWER = {Eric S. Egge},
}

@article {GMPPRST16,
    AUTHOR = {Gaetz, Christian and Mastrianni, Michelle and Patrias, Rebecca
              and Peck, Hailee and Robichaux, Colleen and Schwein, David and
              Tam, Ka Yu},
     TITLE = {{$K$}-{K}nuth equivalence for increasing tableaux},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {23},
      YEAR = {2016},
    NUMBER = {1},
     PAGES = {Paper 1.40, 37},
   MRCLASS = {05E15 (05E05 05E10)},
  MRNUMBER = {3484745},
MRREVIEWER = {Riccardo Biagioli},
}

@article {Galashin17,
    AUTHOR = {Galashin, P.},
     TITLE = {A {L}ittlewood-{R}ichardson rule for dual stable
              {G}rothendieck polynomials},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {151},
      YEAR = {2017},
     PAGES = {23--35},
   MRCLASS = {05E05},
  MRNUMBER = {3663486},
MRREVIEWER = {David J. Grabiner},
       DOI = {10.1016/j.jcta.2017.04.001},
       URL = {https://doi.org/10.1016/j.jcta.2017.04.001},
}

@article {GR13,
    AUTHOR = {Ganter, Nora and Ram, Arun},
     TITLE = {Generalized {S}chubert calculus},
   JOURNAL = {J. Ramanujan Math. Soc.},
  FJOURNAL = {Journal of the Ramanujan Mathematical Society},
    VOLUME = {28A},
      YEAR = {2013},
     PAGES = {149--190},
   MRCLASS = {14F43 (14M15 14N15)},
  MRNUMBER = {3115192},
MRREVIEWER = {Nicolas Perrin},
}

@unpublished {Gillespie,
 author = {Gillespie, Maria},
  title = {Variations on a Theme of {S}chubert Calculus},
   year = {2018},
    url = {https://arxiv.org/abs/1804.08164},
   note = {Preprint, \arxiv{1804.08164}},
 }

@article {GK17,
    AUTHOR = {Gorbounov, Vassily and Korff, Christian},
     TITLE = {Quantum integrability and generalised quantum {S}chubert
              calculus},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {313},
      YEAR = {2017},
     PAGES = {282--356},
   MRCLASS = {14M15 (05E05 14F43 19L47 55N20 55N22 82B23)},
  MRNUMBER = {3649227},
       DOI = {10.1016/j.aim.2017.03.030},
       URL = {https://doi.org/10.1016/j.aim.2017.03.030},
}

@article {GK15,
    AUTHOR = {Graham, William and Kreiman, Victor},
     TITLE = {Excited {Y}oung diagrams, equivariant {$K$}-theory, and
              {S}chubert varieties},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {367},
      YEAR = {2015},
    NUMBER = {9},
     PAGES = {6597--6645},
   MRCLASS = {14M15 (05E15 19L47)},
  MRNUMBER = {3356949},
MRREVIEWER = {Justin Brown},
       DOI = {10.1090/S0002-9947-2015-06288-6},
       URL = {https://doi.org/10.1090/S0002-9947-2015-06288-6},
}

@article{GL05,
 author               = {Gaussent, S. and Littelmann, P.},
 coden                = {DUMJAO},
 doi                  = {10.1215/S0012-7094-04-12712-5},
 fjournal             = {Duke Mathematical Journal},
 journal              = {Duke Math. J.},
 mrclass              = {20G05 (14M15 17B10 22E46 51E24)},
 mrnumber             = {2126496 (2006c:20092)},
 mrreviewer           = {Guy Rousseau},
 number               = {1},
 pages                = {35--88},
 title                = {L{S} galleries, the path model, and {MV} cycles},
 url                  = {https://dx.doi.org/10.1215/S0012-7094-04-12712-5},
 volume               = {127},
 year                 = {2005},
 }

@article {GV85,
    AUTHOR = {Gessel, Ira and Viennot, G\'erard},
     TITLE = {Binomial determinants, paths, and hook length formulae},
   JOURNAL = {Adv. in Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {58},
      YEAR = {1985},
    NUMBER = {3},
     PAGES = {300--321},
   MRCLASS = {05A15 (05A19)},
  MRNUMBER = {815360},
MRREVIEWER = {S. Milne},
       DOI = {10.1016/0001-8708(85)90121-5},
}
 
 @article {Haiman92,
    AUTHOR = {Haiman, Mark D.},
     TITLE = {Dual equivalence with applications, including a conjecture of
              {P}roctor},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {99},
      YEAR = {1992},
    NUMBER = {1-3},
     PAGES = {79--113},
   MRCLASS = {05E10 (05E05 20F55)},
  MRNUMBER = {1158783},
MRREVIEWER = {Andrea Brini},
       DOI = {10.1016/0012-365X(92)90368-P},
       URL = {https://doi.org/10.1016/0012-365X(92)90368-P},
}
 
@article{Hernandez10,
    AUTHOR = {Hernandez, David},
     TITLE = {Kirillov-{R}eshetikhin conjecture: the general case},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {149--193},
   MRCLASS = {17B37},
  MRNUMBER = {2576287 (2011c:17029)},
MRREVIEWER = {Xin Tang},
       DOI = {10.1093/imrn/rnp121},
       URL = {https://dx.doi.org/10.1093/imrn/rnp121},
}

@article {HIMN17,
    AUTHOR = {Hudson, Thomas and Ikeda, Takeshi and Matsumura, Tomoo and
              Naruse, H.},
     TITLE = {Degeneracy loci classes in {$K$}-theory---determinantal and
              {P}faffian formula},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {320},
      YEAR = {2017},
     PAGES = {115--156},
   MRCLASS = {19E20 (14M15 19D55)},
  MRNUMBER = {3709102},
MRREVIEWER = {Charles Weibel},
       DOI = {10.1016/j.aim.2017.08.038},
       URL = {https://doi.org/10.1016/j.aim.2017.08.038},
}

@book{HK02,
 address              = {Providence, RI},
 author               = {Hong, Jin and Kang, Seok-Jin},
 mrclass              = {17B37 (05E15 81R50 82B23)},
 mrnumber             = {1881971 (2002m:17012)},
 mrreviewer           = {Anne Schilling},
 pages                = {xviii+307},
 publisher            = {American Mathematical Society},
 series               = {Graduate Studies in Mathematics},
 title                = {Introduction to quantum groups and crystal bases},
 volume               = {42},
 year                 = {2002},
 }

@incollection{HKOTT02,
 address              = {Boston, MA},
 author               = {Hatayama, Goro and Kuniba, Atsuo and Okado, Masato and Takagi, Taichiro and Tsuboi, Zengo},
 booktitle            = {Math{P}hys odyssey, 2001},
 mrclass              = {17B37 (81R10 82B23)},
 mrnumber             = {1903978 (2003e:17020)},
 mrreviewer           = {Anne Schilling},
 pages                = {205--272},
 publisher            = {Birkh\"auser Boston},
 series               = {Prog. Math. Phys.},
 title                = {Paths, crystals and fermionic formulae},
 volume               = {23},
 year                 = {2002},
 }

@incollection{HKOTY99,
 address              = {Providence, RI},
 author               = {Hatayama, G. and Kuniba, A. and Okado, M. and Takagi, T. and Yamada, Y.},
 booktitle            = {Recent developments in quantum affine algebras and related topics ({R}aleigh, {NC}, 1998)},
 doi                  = {10.1090/conm/248/03826},
 mrclass              = {81R50 (17B37 81R10 82B23)},
 mrnumber             = {1745263 (2001m:81129)},
 mrreviewer           = {Andrei G. Bytsko},
 pages                = {243--291},
 publisher            = {Amer. Math. Soc.},
 series               = {Contemp. Math.},
 title                = {Remarks on fermionic formula},
 url                  = {https://dx.doi.org/10.1090/conm/248/03826},
 volume               = {248},
 year                 = {1999},
}

@incollection{HKOTY02,
    AUTHOR = {Hatayama, G. and Kuniba, A. and Okado, M. and Takagi, T. and
              Yamada, Y.},
     TITLE = {Scattering rules in soliton cellular automata associated with
              crystal bases},
 BOOKTITLE = {Recent developments in infinite-dimensional {L}ie algebras and
              conformal field theory ({C}harlottesville, {VA}, 2000)},
    SERIES = {Contemp. Math.},
    VOLUME = {297},
     PAGES = {151--182},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2002},
   MRCLASS = {81R50 (17B37 37B15 82B23)},
  MRNUMBER = {1919817 (2003k:81104)},
       DOI = {10.1090/conm/297/05097},
       URL = {https://dx.doi.org/10.1090/conm/297/05097},
}

@article {HM18,
    AUTHOR = {Hudson, Thomas and Matsumura, Tomoo},
     TITLE = {Vexillary degeneracy loci classes in {$K$}-theory and
              algebraic cobordism},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {70},
      YEAR = {2018},
     PAGES = {190--201},
   MRCLASS = {19E99 (14C35)},
  MRNUMBER = {3779613},
MRREVIEWER = {Claudio Pedrini},
       DOI = {10.1016/j.ejc.2018.01.001},
       URL = {https://doi.org/10.1016/j.ejc.2018.01.001},
}

@article{Hoshino05,
    AUTHOR = {Hoshino, Ayumu},
     TITLE = {Polyhedral realizations of crystal bases for quantum algebras
              of finite types},
   JOURNAL = {J. Math. Phys.},
  FJOURNAL = {Journal of Mathematical Physics},
    VOLUME = {46},
      YEAR = {2005},
    NUMBER = {11},
     PAGES = {113514, 31},
     CODEN = {JMAPAQ},
   MRCLASS = {17B37},
  MRNUMBER = {2186789},
MRREVIEWER = {Alistair Savage},
       DOI = {10.1063/1.2121308},
       URL = {https://dx.doi.org/10.1063/1.2121308},
}

@article{Hoshino13,
    AUTHOR = {Hoshino, A.},
     TITLE = {Polyhedral realizations of crystal bases for quantum algebras
              of classical affine types},
   JOURNAL = {J. Math. Phys.},
  FJOURNAL = {Journal of Mathematical Physics},
    VOLUME = {54},
      YEAR = {2013},
    NUMBER = {5},
     PAGES = {053511, 28},
   MRCLASS = {17B37},
  MRNUMBER = {3098949},
MRREVIEWER = {Katsuyuki Naoi},
       DOI = {10.1063/1.4805584},
       URL = {https://dx.doi.org/10.1063/1.4805584},
}

@article{HN05,
    AUTHOR = {Hoshino, Ayumu and Nakashima, Toshiki},
     TITLE = {Polyhedral realizations of crystal bases for modified quantum
              algebras of type {$A$}},
   JOURNAL = {Comm. Algebra},
  FJOURNAL = {Communications in Algebra},
    VOLUME = {33},
      YEAR = {2005},
    NUMBER = {7},
     PAGES = {2167--2191},
     CODEN = {COALDM},
   MRCLASS = {17B37 (17B67)},
  MRNUMBER = {2152733},
MRREVIEWER = {Hyeonmi Lee},
       DOI = {10.1081/AGB-200063532},
       URL = {https://dx.doi.org/10.1081/AGB-200063532},
}

@article {HS20,
 author   = {Hawkes, Graham and Scrimshaw, Travis},
 volume   = {3},
 number   = {3},
 pages    = {727--755},
 doi      = {10.5802/alco.111},
 title    = {Crystal structures for canonical {G}rothendieck functions},
 url      = {https://arxiv.org/abs/1907.11415},
 year     = {2020},
 journal  = {Algebraic Combin.},
 fjournal = {Algebraic Combinatorics},
}

@article {Hudson,
    AUTHOR = {Hudson, Thomas},
     TITLE = {A {T}hom-{P}orteous formula for connective {$K$}-theory using
              algebraic cobordism},
   JOURNAL = {J. K-Theory},
  FJOURNAL = {Journal of K-Theory. K-Theory and its Applications in Algebra,
              Geometry, Analysis \& Topology},
    VOLUME = {14},
      YEAR = {2014},
    NUMBER = {2},
     PAGES = {343--369},
       DOI = {10.1017/is014005031jkt266},
       URL = {https://doi.org/10.1017/is014005031jkt266},
}

@book {Humphreys90,
    AUTHOR = {Humphreys, James E.},
     TITLE = {Reflection groups and {C}oxeter groups},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {29},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1990},
     PAGES = {xii+204},
   MRCLASS = {20-02 (20F32 20F55 20G15 20H15)},
  MRNUMBER = {1066460},
MRREVIEWER = {Louis Solomon},
       DOI = {10.1017/CBO9780511623646},
       URL = {https://doi.org/10.1017/CBO9780511623646},
}

@article {IIM17,
   author = {Ikeda, T. and Iwao, S. and Maeno, T.},
   title = {Peterson isomorphism in {$K$}-theory and relativistic {T}oda lattice},
   year = {2018},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
       DOI = {https://doi.org/10.1093/imrn/rny051},
      NOTE = {To appear},
}

@article {IN09,
    AUTHOR = {Ikeda, Takeshi and Naruse, H.},
     TITLE = {Excited {Y}oung diagrams and equivariant {S}chubert calculus},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {361},
      YEAR = {2009},
    NUMBER = {10},
     PAGES = {5193--5221},
   MRCLASS = {05E15 (14M15 14N15)},
  MRNUMBER = {2515809},
MRREVIEWER = {David E. Anderson},
       DOI = {10.1090/S0002-9947-09-04879-X},
       URL = {https://doi.org/10.1090/S0002-9947-09-04879-X},
}

@article {IN13,
    AUTHOR = {Ikeda, Takeshi and Naruse, H.},
     TITLE = {{$K$}-theoretic analogues of factorial {S}chur {$P$}- and
              {$Q$}-functions},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {243},
      YEAR = {2013},
     PAGES = {22--66},
   MRCLASS = {05E05 (14M15 19L47)},
  MRNUMBER = {3062739},
MRREVIEWER = {Li Li},
       DOI = {10.1016/j.aim.2013.04.014},
       URL = {https://doi.org/10.1016/j.aim.2013.04.014},
}

@article {IN18,
    AUTHOR = {Iwao, S. and Nagai, H.},
     TITLE = {The discrete {T}oda equation revisited: dual
              {$\beta$}-{G}rothendieck polynomials, ultradiscretization, and
              static solitons},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {51},
      YEAR = {2018},
    NUMBER = {13},
     PAGES = {134002, 16},
   MRCLASS = {39A60 (19F99 37K10 81R12)},
  MRNUMBER = {3780341},
       DOI = {10.1088/1751-8121/aaae30},
       URL = {https://doi.org/10.1088/1751-8121/aaae30},
}

@article {IS14,
    AUTHOR = {Ikeda, Takeshi and Shimazaki, Tatsushi},
     TITLE = {A proof of {$K$}-theoretic {L}ittlewood-{R}ichardson rules by
              {B}ender-{K}nuth-type involutions},
   JOURNAL = {Math. Res. Lett.},
  FJOURNAL = {Mathematical Research Letters},
    VOLUME = {21},
      YEAR = {2014},
    NUMBER = {2},
     PAGES = {333--339},
   MRCLASS = {05E05 (14M15 19E08)},
  MRNUMBER = {3247060},
MRREVIEWER = {Michael Orin Joyce},
       DOI = {10.4310/MRL.2014.v21.n2.a10},
       URL = {https://doi.org/10.4310/MRL.2014.v21.n2.a10},
}

@unpublished {Iwao19,
 author = {Iwao, S.},
  title = {Grothendieck polynomials and the boson-fermion correspondence},
   year = {2019},
    url = {https://arxiv.org/abs/1905.07692},
   note = {Preprint, \arxiv{1905.07692}},
 }

@misc {Iwao20,
 author = {Iwao, S.},
  title = {Free-fermions and skew stable {G}rothendieck polynomials},
   year = {2020},
 eprint = {2004.09499},
 eprinttype = {arxiv}
 }

@article{JS10,
    AUTHOR = {Jones, Brant and Schilling, Anne},
     TITLE = {Affine structures and a tableau model for {$E_6$} crystals},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {324},
      YEAR = {2010},
    NUMBER = {9},
     PAGES = {2512--2542},
     CODEN = {JALGA4},
   MRCLASS = {17B37 (05E10)},
  MRNUMBER = {2684152 (2011f:17027)},
MRREVIEWER = {Jonathan Brundan},
       DOI = {10.1016/j.jalgebra.2010.07.041},
       URL = {https://dx.doi.org/10.1016/j.jalgebra.2010.07.041},
}

@incollection{JM85,
 address              = {Amsterdam},
 author               = {Jimbo, Michio and Miwa, Tetsuji},
 booktitle            = {Algebraic groups and related topics ({K}yoto/{N}agoya, 1983)},
 mrclass              = {17B67},
 mrnumber             = {803329 (87e:17019)},
 mrreviewer           = {Nigel B. Backhouse},
 pages                = {17--65},
 publisher            = {North-Holland},
 series               = {Adv. Stud. Pure Math.},
 title                = {On a duality of branching rules for affine {L}ie algebras},
 volume               = {6},
 year                 = {1985},
 }

@article {Johansson00,
    AUTHOR = {Johansson, K.},
     TITLE = {Shape fluctuations and random matrices},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {209},
      YEAR = {2000},
    NUMBER = {2},
     PAGES = {437--476},
   MRCLASS = {60K35 (05A16 60C05 60F10 82B41)},
  MRNUMBER = {1737991},
MRREVIEWER = {Peter Eichelsbacher},
       DOI = {10.1007/s002200050027},
       URL = {https://doi.org/10.1007/s002200050027},
}

@article {Johansson10,
    AUTHOR = {Johansson, K.},
     TITLE = {A multi-dimensional {M}arkov chain and the {M}eixner ensemble},
   JOURNAL = {Ark. Mat.},
  FJOURNAL = {Arkiv f\"{o}r Matematik},
    VOLUME = {48},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {79--95},
   MRCLASS = {60B20 (15A15 60J10)},
  MRNUMBER = {2594587},
       DOI = {10.1007/s11512-008-0089-6},
       URL = {https://doi.org/10.1007/s11512-008-0089-6},
}

@article {Kamnitzer07,
    AUTHOR = {Kamnitzer, Joel},
     TITLE = {The crystal structure on the set of {M}irkovi\'c-{V}ilonen
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   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {215},
      YEAR = {2007},
    NUMBER = {1},
     PAGES = {66--93},
     CODEN = {ADMTA4},
   MRCLASS = {17B37},
  MRNUMBER = {2354986 (2009a:17021)},
MRREVIEWER = {Jae-Hoon Kwon},
       DOI = {10.1016/j.aim.2007.03.012},
       URL = {https://dx.doi.org/10.1016/j.aim.2007.03.012},
}

@book{K02,
 address              = {Paris},
 author               = {Kashiwara, Masaki},
 mrclass              = {17B37 (05E25)},
 mrnumber             = {1997677 (2004g:17013)},
 mrreviewer           = {Peter Littelmann},
 note                 = {Edited by Charles Cochet},
 pages                = {viii+115},
 publisher            = {Soci\'et\'e Math\'ematique de France},
 series               = {Cours Sp\'ecialis\'es [Specialized Courses]},
 title                = {Bases cristallines des groupes quantiques},
 volume               = {9},
 year                 = {2002},
 }

@article{K90,
 author               = {Kashiwara, Masaki},
 coden                = {CMPHAY},
 fjournal             = {Communications in Mathematical Physics},
 journal              = {Comm. Math. Phys.},
 mrclass              = {17B37 (17B67)},
 mrnumber             = {1090425 (92b:17018)},
 mrreviewer           = {Kailash C. Misra},
 number               = {2},
 pages                = {249--260},
 title                = {Crystalizing the {$q$}-analogue of universal enveloping algebras},
 url                  = {http://projecteuclid.org/getRecord?id=euclid.cmp/1104201397},
 volume               = {133},
 year                 = {1990},
 }

@article{K91,
 author               = {Kashiwara, Masaki},
 coden                = {DUMJAO},
 doi                  = {10.1215/S0012-7094-91-06321-0},
 fjournal             = {Duke Mathematical Journal},
 journal              = {Duke Math. J.},
 mrclass              = {17B37 (17B10 17B67)},
 mrnumber             = {1115118 (93b:17045)},
 mrreviewer           = {Kailash C. Misra},
 number               = {2},
 pages                = {465--516},
 title                = {On crystal bases of the $q$-analogue of universal enveloping algebras},
 url                  = {https://dx.doi.org/10.1215/S0012-7094-91-06321-0},
 volume               = {63},
 year                 = {1991},
 }

@article{K93,
 author               = {Kashiwara, Masaki},
 coden                = {DUMJAO},
 doi                  = {10.1215/S0012-7094-93-07131-1},
 fjournal             = {Duke Mathematical Journal},
 journal              = {Duke Math. J.},
 mrclass              = {17B37 (17B10 17B67)},
 mrnumber             = {1240605 (95b:17019)},
 mrreviewer           = {Kailash C. Misra},
 number               = {3},
 pages                = {839--858},
 title                = {The crystal base and {L}ittelmann's refined {D}emazure character formula},
 url                  = {https://dx.doi.org/10.1215/S0012-7094-93-07131-1},
 volume               = {71},
 year                 = {1993},
 }

@incollection{K95,
 address              = {Providence, RI},
 author               = {Kashiwara, Masaki},
 booktitle            = {Representations of groups ({B}anff, {AB}, 1994)},
 mrclass              = {17B37 (17B67 81R10 81R50)},
 mrnumber             = {1357199 (97a:17016)},
 mrreviewer           = {Kailash C. Misra},
 pages                = {155--197},
 publisher            = {Amer. Math. Soc.},
 series               = {CMS Conf. Proc.},
 title                = {On crystal bases},
 volume               = {16},
 year                 = {1995},
 }

@incollection{K96,
 address              = {Providence, RI},
 author               = {Kashiwara, Masaki},
 booktitle            = {Lie algebras and their representations ({S}eoul, 1995)},
 doi                  = {10.1090/conm/194/02393},
 mrclass              = {17B37 (17B10 17B67)},
 mrnumber             = {1395599 (97g:17013)},
 mrreviewer           = {Kailash C. Misra},
 pages                = {177--186},
 publisher            = {Amer. Math. Soc.},
 series               = {Contemp. Math.},
 title                = {Similarity of crystal bases},
 url                  = {https://dx.doi.org/10.1090/conm/194/02393},
 volume               = {194},
 year                 = {1996},
 }

@book{kac90,
 address              = {Cambridge},
 author               = {Kac, Victor G.},
 doi                  = {10.1017/CBO9780511626234},
 edition              = {Third},
 mrclass              = {17B65 (17B67 17B68 58F07)},
 mrnumber             = {1104219 (92k:17038)},
 pages                = {xxii+400},
 publisher            = {Cambridge University Press},
 title                = {Infinite-dimensional {L}ie algebras},
 url                  = {https://dx.doi.org/10.1017/CBO9780511626234},
 year                 = {1990},
 }

@article {Kleiman72,
    AUTHOR = {Kleiman, S. L. and Laksov, Dan},
     TITLE = {Schubert calculus},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {The American Mathematical Monthly},
    VOLUME = {79},
      YEAR = {1972},
     PAGES = {1061--1082},
   MRCLASS = {14N10 (14M15)},
  MRNUMBER = {0323796},
MRREVIEWER = {Allen B. Altman},
       DOI = {10.2307/2317421},
       URL = {https://doi.org/10.2307/2317421},
}

@incollection {KKMMNN91,
    AUTHOR = {Kang, Seok-Jin and Kashiwara, Masaki and Misra, Kailash C. and
              Miwa, Tetsuji and Nakashima, Toshiki and Nakayashiki, Atsushi},
     TITLE = {Affine crystals and vertex models},
 BOOKTITLE = {Infinite analysis, {P}art {A}, {B} ({K}yoto, 1991)},
    SERIES = {Adv. Ser. Math. Phys.},
    VOLUME = {16},
     PAGES = {449--484},
 PUBLISHER = {World Sci. Publ., River Edge, NJ},
      YEAR = {1992},
   MRCLASS = {17B37 (17B67 81R10 82B23)},
  MRNUMBER = {1187560 (94a:17008)},
MRREVIEWER = {Peter J. Forrester},
}

@article {KKMMNN92,
    AUTHOR = {Kang, Seok-Jin and Kashiwara, Masaki and Misra, Kailash C. and
              Miwa, Tetsuji and Nakashima, Toshiki and Nakayashiki, Atsushi},
     TITLE = {Perfect crystals of quantum affine {L}ie algebras},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {68},
      YEAR = {1992},
    NUMBER = {3},
     PAGES = {499--607},
     CODEN = {DUMJAO},
   MRCLASS = {17B37 (81R50 82B23)},
  MRNUMBER = {1194953 (94j:17013)},
MRREVIEWER = {Andrew Pressley},
       DOI = {10.1215/S0012-7094-92-06821-9},
       URL = {https://dx.doi.org/10.1215/S0012-7094-92-06821-9},
}

@article {KKR86,
    AUTHOR = {Kerov, S. V. and Kirillov, A. N. and Reshetikhin, N. Yu.},
     TITLE = {Combinatorics, the {B}ethe ansatz and representations of the
              symmetric group},
   JOURNAL = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.
              (LOMI)},
  FJOURNAL = {Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya
              Matematicheskogo Instituta imeni V. A. Steklova Akademii Nauk
              SSSR (LOMI)},
    VOLUME = {155},
      YEAR = {1986},
    NUMBER = {Differentsialnaya Geometriya, Gruppy Li i Mekh. VIII},
     PAGES = {50--64, 193},
   MRCLASS = {82A15 (05A17 20C30 81C40)},
  MRNUMBER = {869576 (88i:82021)},
MRREVIEWER = {Leonid Krop},
       DOI = {10.1007/BF01247087},
       URL = {https://dx.doi.org/10.1007/BF01247087},
}

@article{KPS19,
    AUTHOR = {Knizel, Alisa and Petrov, Leonid and Saenz, Axel},
     TITLE = {Generalizations of {TASEP} in discrete and continuous
              inhomogeneous space},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {372},
      YEAR = {2019},
    NUMBER = {3},
     PAGES = {797--864},
   MRCLASS = {60K35},
  MRNUMBER = {4034777},
       DOI = {10.1007/s00220-019-03495-4},
       URL = {https://doi.org/10.1007/s00220-019-03495-4},
}

@article {KMY09,
    AUTHOR = {Knutson, Allen and Miller, Ezra and Yong, Alexander},
     TITLE = {Gr\"obner geometry of vertex decompositions and of flagged
              tableaux},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik. [Crelle's
              Journal]},
    VOLUME = {630},
      YEAR = {2009},
     PAGES = {1--31},
   MRCLASS = {13C40 (05E05 13F55 14M12)},
  MRNUMBER = {2526784},
MRREVIEWER = {Harry Tamvakis},
       DOI = {10.1515/CRELLE.2009.033},
       URL = {https://doi.org/10.1515/CRELLE.2009.033},
}

@article {KP16,
    AUTHOR = {Kitaev, A. V. and Pronko, A. G.},
     TITLE = {Emptiness formation probability of the six-vertex model and
              the sixth {P}ainlev\'{e} equation},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {345},
      YEAR = {2016},
    NUMBER = {1},
     PAGES = {305--354},
   MRCLASS = {82B20 (34M55)},
  MRNUMBER = {3509016},
       DOI = {10.1007/s00220-016-2636-5},
       URL = {https://doi.org/10.1007/s00220-016-2636-5},
}

@book {Kane01,
    AUTHOR = {Kane, Richard},
     TITLE = {Reflection groups and invariant theory},
    SERIES = {CMS Books in Mathematics/Ouvrages de Math\'ematiques de la SMC},
    VOLUME = {5},
 PUBLISHER = {Springer-Verlag, New York},
      YEAR = {2001},
     PAGES = {x+379},
   MRCLASS = {20F55 (13A50 17B20 20H15 51F15)},
  MRNUMBER = {1838580},
MRREVIEWER = {Stephen P. Humphries},
       DOI = {10.1007/978-1-4757-3542-0},
       URL = {https://doi.org/10.1007/978-1-4757-3542-0},
}

@misc{Kim20,
   author = {Kim, J. S.},
   title = {Jacobi--{T}rudi formula for flagged refined dual stable {G}rothendieck polynomials},
   year = {2020},
   eprint = {2008.12000},
   eprinttype = {arxiv},
}

@article {Kirillov16,
    AUTHOR = {Kirillov, A. N.},
     TITLE = {On some quadratic algebras {I} {$\frac{1}{2}$}: combinatorics
              of {D}unkl and {G}audin elements, {S}chubert, {G}rothendieck,
              {F}uss-{C}atalan, universal {T}utte and reduced polynomials},
   JOURNAL = {SIGMA Symmetry Integrability Geom. Methods Appl.},
  FJOURNAL = {SIGMA. Symmetry, Integrability and Geometry. Methods and
              Applications},
    VOLUME = {12},
      YEAR = {2016},
     PAGES = {Paper No. 002, 172},
   MRCLASS = {05E15 (14N15 16T25)},
  MRNUMBER = {3439199},
MRREVIEWER = {Christian Ohn},
       DOI = {10.3842/SIGMA.2016.002},
       URL = {https://doi.org/10.3842/SIGMA.2016.002},
}


@article{KKS07,
    AUTHOR = {Kang, Seok-Jin and Kim, Jeong-Ah and Shin, Dong-Uy},
     TITLE = {Modified {N}akajima monomials and the crystal {$B(\infty)$}},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {308},
      YEAR = {2007},
    NUMBER = {2},
     PAGES = {524--535},
     CODEN = {JALGA4},
   MRCLASS = {17B37},
  MRNUMBER = {2295073},
MRREVIEWER = {Jae-Hoon Kwon},
       DOI = {10.1016/j.jalgebra.2006.09.022},
       URL = {https://dx.doi.org/10.1016/j.jalgebra.2006.09.022},
}

@article{KM94,
 author               = {Kang, Seok-Jin and Misra, Kailash C.},
 coden                = {JALGA4},
 doi                  = {10.1006/jabr.1994.1037},
 fjournal             = {Journal of Algebra},
 journal              = {J. Algebra},
 mrclass              = {17B37 (17B10)},
 mrnumber             = {1265857 (95f:17013)},
 mrreviewer           = {Nicol{\'a}s Andruskiewitsch},
 number               = {3},
 pages                = {675--691},
 title                = {Crystal bases and tensor product decompositions of {$U_q(G_2)$}-modules},
 url                  = {https://dx.doi.org/10.1006/jabr.1994.1037},
 volume               = {163},
 year                 = {1994},
 }

@unpublished {KM17,
 author = {Kaliszewski, Ryan and Morse, Jennifer},
  title = {Colorful combinatorics and {M}acdonald polynomials},
   year = {2017},
    url = {https://arxiv.org/abs/1710.00801},
   note = {Preprint, \arxiv{1710.00801}},
 }

@article {KMO15,
    AUTHOR = {Kuniba, Atsuo and Maruyama, Shouya and Okado, Masato},
     TITLE = {Multispecies {TASEP} and combinatorial {$R$}},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {48},
      YEAR = {2015},
    NUMBER = {34},
     PAGES = {34FT02, 19},
   MRCLASS = {81R12 (17B80 60K35)},
  MRNUMBER = {3376035},
MRREVIEWER = {Julien Bichon},
       DOI = {10.1088/1751-8113/48/34/34FT02},
       URL = {https://doi.org/10.1088/1751-8113/48/34/34FT02},
}

@article {KMO16,
    AUTHOR = {Kuniba, Atsuo and Maruyama, Shouya and Okado, Masato},
     TITLE = {Inhomogeneous generalization of a multispecies totally
              asymmetric zero range process},
   JOURNAL = {J. Stat. Phys.},
  FJOURNAL = {Journal of Statistical Physics},
    VOLUME = {164},
      YEAR = {2016},
    NUMBER = {4},
     PAGES = {952--968},
   MRCLASS = {82C05},
  MRNUMBER = {3529162},
       DOI = {10.1007/s10955-016-1555-3},
       URL = {https://doi.org/10.1007/s10955-016-1555-3},
}

@article {KMO16II,
    AUTHOR = {Kuniba, Atsuo and Maruyama, Shouya and Okado, Masato},
     TITLE = {Multispecies {TASEP} and the tetrahedron equation},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {49},
      YEAR = {2016},
    NUMBER = {11},
     PAGES = {114001, 22},
   MRCLASS = {60K35},
  MRNUMBER = {3462331},
MRREVIEWER = {Lee-Peng Teo},
       DOI = {10.1088/1751-8113/49/11/114001},
       URL = {https://doi.org/10.1088/1751-8113/49/11/114001},
}

@article {Kirillov:notes,
    AUTHOR = {Kirillov, A. N.},
     TITLE = {Notes on {S}chubert, {G}rothendieck and key polynomials},
   JOURNAL = {SIGMA Symmetry Integrability Geom. Methods Appl.},
  FJOURNAL = {SIGMA. Symmetry, Integrability and Geometry. Methods and
              Applications},
    VOLUME = {12},
      YEAR = {2016},
     PAGES = {Paper No. 034, 1--56},
}

@article {Kohnert91,
    AUTHOR = {Kohnert, Axel},
     TITLE = {Weintrauben, {P}olynome, {T}ableaux},
      NOTE = {Dissertation, Universit\"at Bayreuth, Bayreuth, 1990},
   JOURNAL = {Bayreuth. Math. Schr.},
  FJOURNAL = {Bayreuther Mathematische Schriften},
    NUMBER = {38},
      YEAR = {1991},
     PAGES = {1--97},
   MRCLASS = {05E10 (05A10 05A17 14M15 20C30)},
  MRNUMBER = {1132534},
MRREVIEWER = {Volker Strehl},
}

@article{KN94,
 author               = {Kashiwara, Masaki and Nakashima, Toshiki},
 coden                = {JALGA4},
 doi                  = {10.1006/jabr.1994.1114},
 fjournal             = {Journal of Algebra},
 journal              = {J. Algebra},
 mrclass              = {17B37 (17B10)},
 mrnumber             = {1273277 (95c:17025)},
 mrreviewer           = {Kailash C. Misra},
 number               = {2},
 pages                = {295--345},
 title                = {Crystal graphs for representations of the {$q$}-analogue of classical {L}ie algebras},
 url                  = {https://dx.doi.org/10.1006/jabr.1994.1114},
 volume               = {165},
 year                 = {1994},
 }

@article {KR86,
    AUTHOR = {Kirillov, A. N. and Reshetikhin, N. Yu.},
     TITLE = {The {B}ethe ansatz and the combinatorics of {Y}oung tableaux},
   JOURNAL = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.
              (LOMI)},
  FJOURNAL = {Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya
              Matematicheskogo Instituta imeni V. A. Steklova Akademii Nauk
              SSSR (LOMI)},
    VOLUME = {155},
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 journal              = {J. Combin. Theory Ser. A},
 mrclass              = {05E10 (05A15 17B37 52B12 81R50)},
 mrnumber             = {2891384},
 mrreviewer           = {Hyeonmi Lee},
 number               = {5},
 pages                = {1081--1094},
 title                = {A combinatorial description of the {G}indikin-{K}arpelevich formula in type {$A$}},
 url                  = {https://dx.doi.org/10.1016/j.jcta.2012.01.011},
 volume               = {119},
 year                 = {2012},
 }

@article{LS14,
    AUTHOR = {Lee, Kyu-Hwan and Salisbury, Ben},
     TITLE = {Young tableaux, canonical bases, and the
              {G}indikin-{K}arpelevich formula},
   JOURNAL = {J. Korean Math. Soc.},
  FJOURNAL = {Journal of the Korean Mathematical Society},
    VOLUME = {51},
      YEAR = {2014},
    NUMBER = {2},
     PAGES = {289--309},
   MRCLASS = {17B37 (05E10)},
  MRNUMBER = {3178585},
       DOI = {10.4134/JKMS.2014.51.2.289},
       URL = {https://dx.doi.org/10.4134/JKMS.2014.51.2.289},
}

@article{LS19,
 author   = {Liu, Xuan and Scrimshaw, Travis},
 title    = {A uniform approach to soliton cellular automata using rigged configurations},
 journal  = {Ann. Henri Poincar\'e},
 fjournal = {Annales Henri Poincar\'e. A Journal of Theoretical and Mathematical Physics},
 year     = {2019},
 volume   = {20},
 number   = {4},
 pages    = {1175--1215},
 url      = {https://arxiv.org/abs/1706.02443},
 doi      = {10.1007/s00023-019-00773-8},
}

@article {Mason08,
    AUTHOR = {Mason, Sarah},
     TITLE = {A decomposition of {S}chur functions and an analogue of the
              {R}obinson-{S}chensted-{K}nuth algorithm},
   JOURNAL = {S\'{e}m. Lothar. Combin.},
  FJOURNAL = {S\'{e}minaire Lotharingien de Combinatoire},
    VOLUME = {57},
      YEAR = {2006/08},
     PAGES = {Art. B57e, 24},
   MRCLASS = {05E05 (05E10)},
  MRNUMBER = {2461993},
MRREVIEWER = {Grant Walker},
}

@article {Mason09,
    AUTHOR = {Mason, Sarah},
     TITLE = {An explicit construction of type {A} {D}emazure atoms},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {29},
      YEAR = {2009},
    NUMBER = {3},
     PAGES = {295--313},
   MRCLASS = {05E05 (05E10)},
  MRNUMBER = {2496309},
MRREVIEWER = {James B. Haglund},
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       URL = {https://doi.org/10.1007/s10801-008-0133-4},
}

@article {Matsumoto64,
    AUTHOR = {Matsumoto, Hideya},
     TITLE = {G\'en\'erateurs et relations des groupes de {W}eyl g\'en\'eralis\'es},
   JOURNAL = {C. R. Acad. Sci. Paris},
    VOLUME = {258},
      YEAR = {1964},
     PAGES = {3419--3422},
   MRCLASS = {14.50 (20.75)},
  MRNUMBER = {0183818},
MRREVIEWER = {J. L. Tits},
}

@article {Matsumura18,
    AUTHOR = {Matsumura, Tomoo},
     TITLE = {Flagged {G}rothendieck polynomials},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
      YEAR = {2018},
       DOI = {10.1007/s10801-018-0841-3},
}

@article {McNamara06,
    AUTHOR = {McNamara, Peter J.},
     TITLE = {Factorial {G}rothendieck polynomials},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {13},
      YEAR = {2006},
    NUMBER = {1},
     PAGES = {Research Paper 71, 40},
       URL = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v13i1r71},
}

@article {MMO10,
    AUTHOR = {Misra, Kailash C. and Mohamad, Mahathir and Okado, Masato},
     TITLE = {Zero action on perfect crystals for {$U_q(G^{(1)}_2)$}},
   JOURNAL = {SIGMA Symmetry Integrability Geom. Methods Appl.},
  FJOURNAL = {SIGMA. Symmetry, Integrability and Geometry. Methods and
              Applications},
    VOLUME = {6},
      YEAR = {2010},
     PAGES = {Paper 022, 12},
   MRCLASS = {17B37 (16T30 17B67)},
  MRNUMBER = {2602215 (2011b:17035)},
MRREVIEWER = {Jan E. Grabowski},
}

@article {MOW12,
    AUTHOR = {Misra, Kailash C. and Okado, Masato and Wilson, Evan A.},
     TITLE = {Soliton cellular automaton associated with {$G^{(1)}_2$}
              crystal base},
   JOURNAL = {J. Math. Phys.},
  FJOURNAL = {Journal of Mathematical Physics},
    VOLUME = {53},
      YEAR = {2012},
    NUMBER = {1},
     PAGES = {013510, 21},
     CODEN = {JMAPAQ},
   MRCLASS = {17B37 (37B15)},
  MRNUMBER = {2919549},
MRREVIEWER = {Yiqiang Li},
       DOI = {10.1063/1.3673541},
       URL = {https://dx.doi.org/10.1063/1.3673541},
}

@unpublished{Monical16,
 author = {Monical, Cara},
  title = {Set-valued skyline fillings},
    url = {https://arxiv.org/abs/1611.08777},
   note = {Preprint, \arxiv{1611.08777}},
   year = {2016},
}

@unpublished{MPS18,
 author   = {Monical, Cara and Pechenik, Oliver and Scrimshaw, Travis},
 title    = {Crystal structures for symmetric {G}rothendieck polynomials},
 year     = {2018},
 note     = {Preprint, \arxiv{1807.03294}},
 url      = {https://arxiv.org/abs/1807.03294},
}

@article {MPS18II,
   author = {Monical, Cara and Pechenik, Oliver and Searles, Dominic},
    title = {Polynomials from combinatorial {$K$}-theory},
      url = {https://arxiv.org/abs/1806.03802},
     year = {2019},
  journal = {Canad. J. Math.},
 fjournal = {Canadian Journal of Mathematics},
     note = {To appear},
      doi = {10.4153/S0008414X19000464},
}

@article {MS13,
    AUTHOR = {Motegi, K. and Sakai, K.},
     TITLE = {Vertex models, {TASEP} and {G}rothendieck polynomials},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {46},
      YEAR = {2013},
    NUMBER = {35},
     PAGES = {355201, 26},
   MRCLASS = {81R12},
  MRNUMBER = {3100873},
       DOI = {10.1088/1751-8113/46/35/355201},
       URL = {https://doi.org/10.1088/1751-8113/46/35/355201},
}

@article {MS14,
    author = {Motegi, K. and Sakai, K.},
     title = {{$K$}-theoretic boson-fermion correspondence and melting crystals},
      year = {2014},
   journal = {J. Phys. A},
  fjournal = {Journal of Physics. A. Mathematical and General},
    volume = {47},
    number = {44},
       doi = {10.1088/1751-8113/47/44/445202},
       url = {https://dx.doi.org/10.1088/1751-8113/47/44/445202},
     pages = {445202},
}

@article {MS16,
    AUTHOR = {Morse, Jennifer and Schilling, Anne},
     TITLE = {Crystal approach to affine {S}chubert calculus},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2016},
      volume={2016},
    NUMBER = {8},
     PAGES = {2239--2294},
   MRCLASS = {14M15 (14N35)},
  MRNUMBER = {3519114},
MRREVIEWER = {Pierre-Emmanuel Chaput},
       DOI = {10.1093/imrn/rnv194},
       URL = {https://doi.org/10.1093/imrn/rnv194},
}

@unpublished {MS19,
 author = {Matsumura, Tomoo and Sugimoto, Shogo},
   note = {In preparation},
   year = {2019},
}

@article{Nakajima03,
    AUTHOR = {Nakajima, Hiraku},
     TITLE = {{$t$}-analogs of {$q$}-characters of {K}irillov-{R}eshetikhin
              modules of quantum affine algebras},
   JOURNAL = {Represent. Theory},
  FJOURNAL = {Representation Theory. An Electronic Journal of the American
              Mathematical Society},
    VOLUME = {7},
      YEAR = {2003},
     PAGES = {259--274 (electronic)},
   MRCLASS = {17B37 (81R50 82B23)},
  MRNUMBER = {1993360 (2004e:17013)},
MRREVIEWER = {Fabio Gavarini},
       DOI = {10.1090/S1088-4165-03-00164-X},
       URL = {https://dx.doi.org/10.1090/S1088-4165-03-00164-X},
}

@article {Nakashima99,
    AUTHOR = {Nakashima, Toshiki},
     TITLE = {Polyhedral realizations of crystal bases for integrable
              highest weight modules},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {219},
      YEAR = {1999},
    NUMBER = {2},
     PAGES = {571--597},
     CODEN = {JALGA4},
   MRCLASS = {17B37 (17B10 17B67)},
  MRNUMBER = {1706829 (2000g:17020)},
MRREVIEWER = {Kailash C. Misra},
       DOI = {10.1006/jabr.1999.7920},
       URL = {https://dx.doi.org/10.1006/jabr.1999.7920},
}

@article {NZ97,
    AUTHOR = {Nakashima, Toshiki and Zelevinsky, Andrei},
     TITLE = {Polyhedral realizations of crystal bases for quantized
              {K}ac-{M}oody algebras},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {131},
      YEAR = {1997},
    NUMBER = {1},
     PAGES = {253--278},
     CODEN = {ADMTA4},
   MRCLASS = {17B37 (17B67)},
  MRNUMBER = {1475048 (98m:17023)},
MRREVIEWER = {Andrew Pressley},
       DOI = {10.1006/aima.1997.1670},
       URL = {https://dx.doi.org/10.1006/aima.1997.1670},
}

@article {Okounkov00,
    AUTHOR = {Okounkov, A.},
     TITLE = {Random matrices and random permutations},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices},
      YEAR = {2000},
    NUMBER = {20},
     PAGES = {1043--1095},
   MRCLASS = {15A52 (05C30 60C05 82B31)},
  MRNUMBER = {1802530},
MRREVIEWER = {Oleksiy Khorunzhiy},
       DOI = {10.1155/S1073792800000532},
       URL = {https://doi.org/10.1155/S1073792800000532},
}

@article {Okounkov01,
    AUTHOR = {Okounkov, A.},
     TITLE = {Infinite wedge and random partitions},
   JOURNAL = {Selecta Math. (N.S.)},
  FJOURNAL = {Selecta Mathematica. New Series},
    VOLUME = {7},
      YEAR = {2001},
    NUMBER = {1},
     PAGES = {57--81},
   MRCLASS = {60C05},
  MRNUMBER = {1856553},
MRREVIEWER = {Hajime Yamato},
       DOI = {10.1007/PL00001398},
       URL = {https://doi.org/10.1007/PL00001398},
}

@article{OS08,
    AUTHOR = {Okado, Masato and Schilling, Anne},
     TITLE = {Existence of {K}irillov-{R}eshetikhin crystals for
              nonexceptional types},
   JOURNAL = {Represent. Theory},
  FJOURNAL = {Representation Theory. An Electronic Journal of the American
              Mathematical Society},
    VOLUME = {12},
      YEAR = {2008},
     PAGES = {186--207},
   MRCLASS = {17B37 (05E15)},
  MRNUMBER = {2403558 (2009c:17022)},
MRREVIEWER = {David Hernandez},
       DOI = {10.1090/S1088-4165-08-00329-4},
       URL = {https://dx.doi.org/10.1090/S1088-4165-08-00329-4},
}

@article {OS10,
    AUTHOR = {Okado, Masato and Sakamoto, Reiho},
     TITLE = {Combinatorial {$R$}-matrices for {K}irillov-{R}eshetikhin
              crystals of type {$D^{(1)}_n,B^{(1)}_n,A^{(2)}_{2n-1}$}},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2010},
    NUMBER = {3},
     PAGES = {559--593},
   MRCLASS = {17B37},
  MRNUMBER = {2587570 (2011f:17029)},
MRREVIEWER = {Kailash C. Misra},
       DOI = {10.1093/imrn/rnp112},
       URL = {https://dx.doi.org/10.1093/imrn/rnp112},
}

@incollection {OS12,
    AUTHOR = {Okado, Masato and Sano, Nobumasa},
     TITLE = {K{KR} type bijection for the exceptional affine algebra {$E_6^{(1)}$}},
 BOOKTITLE = {Algebraic groups and quantum groups},
    SERIES = {Contemp. Math.},
    VOLUME = {565},
     PAGES = {227--242},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2012},
   MRCLASS = {17B37 (05C38 17B25)},
  MRNUMBER = {2932429},
MRREVIEWER = {Hiro-Fumi Yamada},
       DOI = {10.1090/conm/565/11181},
       URL = {https://dx.doi.org/10.1090/conm/565/11181},
}

@incollection{OSS03,
 author               = {Okado, Masato and Schilling, Anne and Shimozono, Mark},
 booktitle            = {Algebraic combinatorics and quantum groups},
 doi                  = {10.1142/9789812775405_0005},
 mrclass              = {17B37 (05A19 05A30 05E15)},
 mrnumber             = {2035131 (2005b:17037)},
 mrreviewer           = {Jae-Hoon Kwon},
 pages                = {85--124},
 publisher            = {World Sci. Publ., River Edge, NJ},
 title                = {A crystal to rigged configuration bijection for nonexceptional affine algebras},
 url                  = {https://dx.doi.org/10.1142/9789812775405_0005},
 year                 = {2003},
 }

@article{OSS03II,
 author               = {Okado, Masato and Schilling, Anne and Shimozono, Mark},
 coden                = {CMPHAY},
 fjournal             = {Communications in Mathematical Physics},
 journal              = {Comm. Math. Phys.},
 mrclass              = {17B37 (81R50)},
 mrnumber             = {1989674 (2004c:17034)},
 mrreviewer           = {{\c{S}}erban Raianu},
 number               = {1-2},
 pages                = {187--209},
 title                = {Virtual crystals and {K}leber's algorithm},
 volume               = {238},
 year                 = {2003},
 }

@article{OSS03III,
 author               = {Okado, Masato and Schilling, Anne and Shimozono, Mark},
 doi                  = {10.1090/S1088-4165-03-00155-9},
 fjournal             = {Representation Theory. An Electronic Journal of the American Mathematical Society},
 journal              = {Represent. Theory},
 mrclass              = {17B37 (05A30 81R10 81R50)},
 mrnumber             = {1973369 (2004f:17023)},
 mrreviewer           = {Jae-Hoon Kwon},
 pages                = {101--163 (electronic)},
 title                = {Virtual crystals and fermionic formulas of type {$D^{(2)}_{n+1},A^{(2)}_{2n}$}, and {$C^{(1)}_n$}},
 url                  = {https://dx.doi.org/10.1090/S1088-4165-03-00155-9},
 volume               = {7},
 year                 = {2003},
 }

@article{OSS13,
 author               = {Okado, Masato and Sakamoto, Reiho and Schilling, Anne},
 coden                = {JAOME7},
 doi                  = {10.1007/s10801-012-0383-z},
 fjournal             = {Journal of Algebraic Combinatorics. An International Journal},
 journal              = {J. Algebraic Combin.},
 mrclass              = {17B37 (05E10)},
 mrnumber             = {3035517},
 number               = {3},
 pages                = {571--599},
 title                = {Affine crystal structure on rigged configurations of type {$D_n^{(1)}$}},
 url                  = {https://dx.doi.org/10.1007/s10801-012-0383-z},
 volume               = {37},
 year                 = {2013},
 }

@article {Povolotsky13,
    AUTHOR = {Povolotsky, A. M.},
     TITLE = {On the integrability of zero-range chipping models with
              factorized steady states},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {46},
      YEAR = {2013},
    NUMBER = {46},
     PAGES = {465205, 25},
   MRCLASS = {81R12 (82C22)},
  MRNUMBER = {3126878},
       DOI = {10.1088/1751-8113/46/46/465205},
       URL = {https://doi.org/10.1088/1751-8113/46/46/465205},
}

@article {PP16,
    AUTHOR = {Patrias, Rebecca and Pylyavskyy, Pavlo},
     TITLE = {Combinatorics of {$K$}-theory via a {$K$}-theoretic
              {P}oirier-{R}eutenauer bialgebra},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {339},
      YEAR = {2016},
    NUMBER = {3},
     PAGES = {1095--1115},
   MRCLASS = {05E10 (14C35 16T30)},
  MRNUMBER = {3433916},
MRREVIEWER = {Artem A. Lopatin},
       DOI = {10.1016/j.disc.2015.10.044},
       URL = {https://doi.org/10.1016/j.disc.2015.10.044},
}

@book {Pechenik:thesis,
    AUTHOR = {Pechenik, Oliver},
     TITLE = {K-{T}heoretic {S}chubert {C}alculus and {A}pplications},
      NOTE = {Thesis (Ph.D.)--University of Illinois at Urbana-Champaign},
 PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {2016},
     PAGES = {263},
   MRCLASS = {Thesis},
  MRNUMBER = {3697805},
       URL =
              {http://gateway.proquest.com.proxy.lib.umich.edu/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:10609919},
}

@article {Pronko12,
    AUTHOR = {Pron'ko, A. G.},
     TITLE = {On the emptiness formation probability in the free-fermion
              six-vertex model with domain wall boundary conditions},
   JOURNAL = {Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov.
              (POMI)},
  FJOURNAL = {Rossi\u{\i}skaya Akademiya Nauk. Sankt-Peterburgskoe Otdelenie.
              Matematicheski\u{\i} Institut im. V. A. Steklova. Zapiski Nauchnykh
              Seminarov (POMI)},
    VOLUME = {398},
      YEAR = {2012},
    NUMBER = {Voprosy Kvantovo\u{\i} Teorii Polya i Statistichesko\u{\i} Fiziki. 22},
     PAGES = {179--208, 226},
   MRCLASS = {82B20 (82B23)},
  MRNUMBER = {2944995},
MRREVIEWER = {Nenad Manojlovi\'{c}},
       DOI = {10.1007/s10958-013-1377-7},
       URL = {https://doi.org/10.1007/s10958-013-1377-7},
}

@article {PS09,
    AUTHOR = {Postnikov, Alexander and Stanley, Richard P.},
     TITLE = {Chains in the {B}ruhat order},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {29},
      YEAR = {2009},
    NUMBER = {2},
     PAGES = {133--174},
   MRCLASS = {14M15 (05A05 05E10 05E15)},
  MRNUMBER = {2475632},
       DOI = {10.1007/s10801-008-0125-4},
       URL = {https://doi.org/10.1007/s10801-008-0125-4},
}

@article{PS18,
 AUTHOR = {Pechenik, Oliver and Searles, Dominic},
 title = {Decompositions of {G}rothendieck polynomials},
 journal = {Int. Math. Res. Not. IMRN},
 fjournal = {International Mathematics Research Notices},
 year = {2019},
 pages = {3214--3241},
 volume = {2019},
 number = {10},
 doi = {10.1093/imrn/rnx207},
 url = {https://doi.org/10.1093/imrn/rnx207},
}

@unpublished{PS19,
 author   = {Pechenik, Oliver and Scrimshaw, Travis},
 title    = {K-theoretic crystals for set-valued tableaux of rectangular shapes},
 year     = {2019},
 note     = {Preprint, \arxiv{1904.09674}},
 url      = {https://arxiv.org/abs/1904.09674},
}

@article {PW15,
    AUTHOR = {Proctor, Robert A. and Willis, Matthew J.},
     TITLE = {Semistandard tableaux for {D}emazure characters (key
              polynomials) and their atoms},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {43},
      YEAR = {2015},
     PAGES = {172--184},
   MRCLASS = {05E05},
  MRNUMBER = {3266290},
MRREVIEWER = {Arthur L. B. Yang},
       DOI = {10.1016/j.ejc.2014.08.022},
       URL = {https://doi-org.proxy.lib.umich.edu/10.1016/j.ejc.2014.08.022},
}

@article {PY:genomic,
    AUTHOR = {Pechenik, Oliver and Yong, Alexander},
     TITLE = {Genomic tableaux},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {45},
      YEAR = {2017},
    NUMBER = {3},
     PAGES = {649--685},
}

@article {PY:KT,
    AUTHOR = {Pechenik, Oliver and Yong, Alexander},
     TITLE = {Equivariant {$K$}-theory of {G}rassmannians},
   JOURNAL = {Forum Math. Pi},
  FJOURNAL = {Forum of Mathematics. Pi},
    VOLUME = {5},
      YEAR = {2017},
     PAGES = {e3, 128},
   MRCLASS = {14M15 (05E05 05E15 14C35 14N15 19L47)},
  MRNUMBER = {3668467},
MRREVIEWER = {Claudio Pedrini},
       DOI = {10.1017/fmp.2017.4},
       URL = {https://doi.org/10.1017/fmp.2017.4},
}

@unpublished {PY18,
 author = {Pylyavskyy, Pavlo and Yang, Jed},
  title = {Puzzles in {$K$}-homology of {G}rassmannians},
   year = {2018},
    url = {https://arxiv.org/abs/1801.07667},
   note = {Preprint, \arxiv{1801.07667}},
 }

@article{R06,
 author               = {Ram, Arun},
 doi                  = {10.4310/PAMQ.2006.v2.n4.a4},
 fjournal             = {Pure and Applied Mathematics Quarterly},
 journal              = {Pure Appl. Math. Q.},
 mrclass              = {20C08 (05E15 17B10 20G05 33D52)},
 mrnumber             = {2282411 (2008a:20013)},
 mrreviewer           = {Guy Rousseau},
 number               = {4, part 2},
 pages                = {963--1013},
 title                = {Alcove walks, {H}ecke algebras, spherical functions, crystals and column strict tableaux},
 url                  = {https://dx.doi.org/10.4310/PAMQ.2006.v2.n4.a4},
 volume               = {2},
 year                 = {2006},
 }

@book {Romik15,
    AUTHOR = {Romik, Dan},
     TITLE = {The surprising mathematics of longest increasing subsequences},
    SERIES = {Institute of Mathematical Statistics Textbooks},
    VOLUME = {4},
 PUBLISHER = {Cambridge University Press, New York},
      YEAR = {2015},
     PAGES = {xi+353},
   MRCLASS = {05-01 (05A05 05D40 60B20 60C05 60K35 82B41 82C41)},
  MRNUMBER = {3468738},
MRREVIEWER = {Sergi Elizalde},
}

@unpublished{RossREU,
 author = {Ross, Colleen},
 title = {Combinatorial formulae for {G}rothendieck-{D}emazure and {G}rothendieck polynomials},
 note = {REU  report, \url{http://www.math.uiuc.edu/~ayong/student_projects/Ross.pdf}},
 year = {2011},
 url = {http://www.math.uiuc.edu/~ayong/student_projects/Ross.pdf},
}
 
 @article {RS95,
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@article{TY18,
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@misc{Yel19II,
   author = {Yeliussizov, D.},
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   year = {2019},
   eprint = {1910.13378},
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@unpublished{Yel19III,
   author = {Yeliussizov, D.},
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   year = {2019},
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}

@article{Yel20,
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   pages = {497--503},
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