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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},
      ISSN = {0020-9910},
   MRCLASS = {14M15 (14F05 20G05)},
  MRNUMBER = {782239},
MRREVIEWER = {S. Ramanan},
       DOI = {10.1007/BF01388527},
}

@article{AS18:Demazure,
     author = {Assaf, Sami and Schilling, A.},
     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},
}

@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},
      ISSN = {0097-3165},
   MRCLASS = {05E05},
  MRNUMBER = {3762104},
       DOI = {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},
}

@article{B31,
 author               = {Bethe, H.},
 doi                  = {10.1007/BF01341708},
 issn                 = {0044-3328},
 journal              = {Zeitschrift f\"ur Physik},
 language             = {German},
 number               = {3-4},
 pages                = {205-226},
 publisher            = {Springer-Verlag},
 title                = {Zur {T}heorie der {M}etalle},
 opturl                  = {http://dx.doi.org/10.1007/BF01341708},
 volume               = {71},
 year                 = {1931},
 }

@book{B89,
 address              = {London},
 author               = {Baxter, Rodney J.},
 isbn                 = {0-12-083182-1},
 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},
 issn                 = {0034-5318},
 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},
 opturl                  = {http://dx.doi.org/10.2977/prims/1195142873},
 volume               = {36},
 year                 = {2000},
 }

@book {BB05,
    AUTHOR = {Bj\"orner, A. and Brenti, F.},
     TITLE = {Combinatorics of {C}oxeter groups},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {231},
 PUBLISHER = {Springer, New York},
      YEAR = {2005},
     PAGES = {xiv+363},
      ISBN = {978-3540-442387; 3-540-44238-3},
   MRCLASS = {05-01 (05E15 20F55)},
  MRNUMBER = {2133266},
MRREVIEWER = {Jian-yi Shi},
}

@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},
      ISSN = {0002-9947},
   MRCLASS = {57T15 (22E45 32M10 55N20)},
  MRNUMBER = {968883},
MRREVIEWER = {V. P. Snaith},
       DOI = {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},
}

@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},
      ISSN = {0010-3616},
   MRCLASS = {82B23 (16T25)},
  MRNUMBER = {2851143},
MRREVIEWER = {Chengming Bai},
       DOI = {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},
      ISSN = {0003-486X},
   MRCLASS = {11F68 (11F30 11F70 11M32)},
  MRNUMBER = {2776371},
MRREVIEWER = {Anton Deitmar},
       DOI = {10.4007/annals.2011.173.2.13},
}

@article {BCHOPSY18,
    AUTHOR = {Benkart, G. and Colmenarejo, L. and Harris, P. E.
              and Orellana, R. and Panova, G. and Schilling, A. and
              Yip, M.},
     TITLE = {A minimaj-preserving crystal on ordered multiset partitions},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {95},
      YEAR = {2018},
     PAGES = {96--115},
      ISSN = {0196-8858},
   MRCLASS = {05A19 (05A18 05E05 05E10 17B37 20G42 82D25)},
  MRNUMBER = {3759213},
MRREVIEWER = {Samuel Francis Hopkins},
       DOI = {10.1016/j.aam.2017.11.006},
}

@article{BG01,
 author               = {Braverman, Alexander and Gaitsgory, Dennis},
 coden                = {DUMJAO},
 doi                  = {10.1215/S0012-7094-01-10736-9},
 fjournal             = {Duke Mathematical Journal},
 issn                 = {0012-7094},
 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},
 opturl                  = {http://dx.doi.org/10.1215/S0012-7094-01-10736-9},
 volume               = {107},
 year                 = {2001},
 }

@article {BFKL06,
    AUTHOR = {Benkart, G. 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},
      ISSN = {1073-7928},
   MRCLASS = {17B67 (17B37)},
  MRNUMBER = {2272099 (2007i:17030)},
MRREVIEWER = {Alistair Savage},
       DOI = {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},
      ISSN = {1016-443X},
     CODEN = {GFANFB},
   MRCLASS = {17B37 (14M15 22E47)},
  MRNUMBER = {1826254 (2003b:17013)},
MRREVIEWER = {Jonathan Brundan},
       DOI = {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},
}

@article {BKSTY08,
    AUTHOR = {Buch, A. S. and Kresch, A. and Shimozono, M.
              and Tamvakis, H. and Yong, A.},
     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},
      ISSN = {0025-5831},
   MRCLASS = {05E15 (05E05 05E10 14M15)},
  MRNUMBER = {2368984},
MRREVIEWER = {F. Sottile},
       DOI = {10.1007/s00208-007-0155-6},
}

@article {BM12,
    AUTHOR = {Bandlow, J. and Morse, J.},
     TITLE = {Combinatorial expansions in {$K$}-theoretic bases},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {19},
      YEAR = {2012},
    NUMBER = {4},
     PAGES = {Paper 39, 27},
      ISSN = {1077-8926},
   MRCLASS = {05E05 (05A19 19E20)},
  MRNUMBER = {3007174},
}

@article {BPS16,
    AUTHOR = {Bloom, J. and Pechenik, O. and Saracino, D.},
     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},
      ISSN = {0012-365X},
   MRCLASS = {05E18 (06A07 20B25)},
  MRNUMBER = {3404481},
MRREVIEWER = {Konrad P. Pi\'oro},
       DOI = {10.1016/j.disc.2015.08.011},
}

@article {BS16,
    AUTHOR = {Buch, A. S. and Samuel, M. 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},
      ISSN = {0075-4102},
   MRCLASS = {19E99 (14M15)},
  MRNUMBER = {3552494},
MRREVIEWER = {T. Benedict Williams},
       DOI = {10.1515/crelle-2014-0051},
}

@book {BS17,
    AUTHOR = {Bump, D. and Schilling, A.},
     TITLE = {Crystal bases},
      NOTE = {Representations and combinatorics},
 PUBLISHER = {World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ},
      YEAR = {2017},
     PAGES = {xii+279},
      ISBN = {978-981-4733-44-1},
   MRCLASS = {05-01 (05E10 14T05 17B10)},
  MRNUMBER = {3642318},
       DOI = {10.1142/9876},
}

@article {BSS96,
    AUTHOR = {Benkart, G. and Sottile, F. and Stroomer, J.},
     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},
      ISSN = {0097-3165},
   MRCLASS = {05E10 (05E05)},
  MRNUMBER = {1405988},
MRREVIEWER = {Bernard Leclerc},
       DOI = {10.1006/jcta.1996.0086},
}

@misc{BSW19,
   author = {Buciumas, V. and Scrimshaw, T. and Weber, K.},
   title = {Colored five-vertex models and {L}ascoux polynomials and atoms},
   note = {In preparation},
}
%{Preprint, \arxiv{19XX.YYYYY}},

@article {Buch02,
    AUTHOR = {Buch, A. S.},
     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},
      ISSN = {0001-5962},
     CODEN = {ACMAA8},
   MRCLASS = {14M15 (05E05 05E15)},
  MRNUMBER = {1946917},
MRREVIEWER = {F. Sottile},
       DOI = {10.1007/BF02392644},
}

@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},
 issn                 = {1751-8113},
 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},
 volume               = {43},
 year                 = {2010},
 }

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


@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},
}

@misc{combinat,
 author               = {The {S}age-{C}ombinat community},
 note                 = {\url{https://wiki.sagemath.org/combinat}},
 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},
      ISSN = {0010-3616},
     CODEN = {CMPHAY},
   MRCLASS = {16W30 (17B37 81R50)},
  MRNUMBER = {1645027 (99f:16041)},
MRREVIEWER = {Wen-li Yang},
       DOI = {10.1007/s002200050431},
}

@book {Davis08,
    AUTHOR = {Davis, Michael W.},
     TITLE = {The geometry and topology of {C}oxeter groups},
    SERIES = {London Mathematical Society Monographs Series},
    VOLUME = {32},
 PUBLISHER = {Princeton University Press, Princeton, NJ},
      YEAR = {2008},
     PAGES = {xvi+584},
      ISBN = {978-0-691-13138-2; 0-691-13138-4},
   MRCLASS = {20F55 (05B45 05C25 51-02 57M07)},
  MRNUMBER = {2360474},
MRREVIEWER = {Ralf Koehl},
}

@article {Demazure74,
    AUTHOR = {Demazure, Michel},
     TITLE = {Une nouvelle formule des C.ct\`eres},
   JOURNAL = {Bull. Sci. Math. (2)},
  FJOURNAL = {Bulletin des Sciences Math\'ematiques. 2e S\'erie},
    VOLUME = {98},
      YEAR = {1974},
    NUMBER = {3},
     PAGES = {163--172},
      ISSN = {0007-4497},
   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},
      ISSN = {0012-9593},
   MRCLASS = {14M15 (20G05)},
  MRNUMBER = {0354697},
MRREVIEWER = {S. I. Gelfand},
       URL = {http://www.numdam.org/item?id=ASENS_1974_4_7_1_53_0},
}

@article{DS06,
 author               = {Deka, Lipika and Schilling, A.},
 coden                = {JCBTA7},
 doi                  = {10.1016/j.jcta.2006.01.003},
 fjournal             = {Journal of Combinatorial Theory. Series A},
 issn                 = {0097-3165},
 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},
 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},
      ISBN = {0-521-56069-1; 0-521-78987-7},
   MRCLASS = {05A15 (05-02 05E05 05E10 68R05)},
  MRNUMBER = {1676282},
MRREVIEWER = {Ira Gessel},
       DOI = {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},
      ISSN = {0001-8708},
   MRCLASS = {05A17 (20B30 20C30)},
  MRNUMBER = {871081},
MRREVIEWER = {Joseph Kung},
       DOI = {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},
      ISSN = {0949-5932},
   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},
      ISSN = {0012-365X},
   MRCLASS = {05E05 (20C30)},
  MRNUMBER = {1661368},
MRREVIEWER = {Ernesto Vallejo},
       DOI = {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},
}

@inproceedings {FK96,
    AUTHOR = {Fomin, S. and Kirillov, A. N.},
     TITLE = {The {Y}ang-{B}axter equation, symmetric functions, and
              {S}chubert polynomials},
 BOOKTITLE = {Proceedings of the 5th {C}onference on {F}ormal {P}ower
              {S}eries and {A}lgebraic {C}ombinatorics ({F}lorence, 1993)},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {153},
      YEAR = {1996},
    NUMBER = {1-3},
     PAGES = {123--143},
      ISSN = {0012-365X},
   MRCLASS = {05E05 (14C17 14M15 82B23)},
  MRNUMBER = {1394950},
MRREVIEWER = {Jean-Yves Thibon},
       DOI = {10.1016/0012-365X(95)00132-G},
}

@article{FOS09,
 author               = {Fourier, Ghislain and Okado, M. and Schilling, A.},
 coden                = {ADMTA4},
 doi                  = {10.1016/j.aim.2009.05.020},
 fjournal             = {Advances in Mathematics},
 issn                 = {0001-8708},
 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},
 volume               = {222},
 year                 = {2009},
 }

@article{FOS10,
    AUTHOR = {Fourier, Ghislain and Okado, M. and Schilling, A.},
     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},
}

@article {FSS.2007,
    AUTHOR = {Fourier, Ghislain and Schilling, A. and Shimozono, M.},
     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},
      ISSN = {0021-8693},
     CODEN = {JALGA4},
   MRCLASS = {17B37},
  MRNUMBER = {2301245 (2008b:17018)},
MRREVIEWER = {Peter W. Tingley},
       DOI = {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},
}

@article {GMPPRST16,
    AUTHOR = {Gaetz, Christian and Mastrianni, Michelle and Patrias, R.
              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},
      ISSN = {1077-8926},
   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},
      ISSN = {0097-3165},
   MRCLASS = {05E05},
  MRNUMBER = {3663486},
MRREVIEWER = {David J. Grabiner},
       DOI = {10.1016/j.jcta.2017.04.001},
       opturl = {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},
      ISSN = {0970-1249},
   MRCLASS = {14F43 (14M15 14N15)},
  MRNUMBER = {3115192},
MRREVIEWER = {Nicolas Perrin},
}

@misc { 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},
      ISSN = {0001-8708},
   MRCLASS = {14M15 (05E05 14F43 19L47 55N20 55N22 82B23)},
  MRNUMBER = {3649227},
       DOI = {10.1016/j.aim.2017.03.030},
       opturl = {https://doi.org/10.1016/j.aim.2017.03.030},
}

@article {GK15,
    AUTHOR = {G., 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},
      ISSN = {0002-9947},
   MRCLASS = {14M15 (05E15 19L47)},
  MRNUMBER = {3356949},
MRREVIEWER = {Justin Brown},
       DOI = {10.1090/S0002-9947-2015-06288-6},
       opturl = {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},
 issn                 = {0012-7094},
 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                  = {http://dx.doi.org/10.1215/S0012-7094-04-12712-5},
 volume               = {127},
 year                 = {2005},
 }
 
 @article {Haiman92,
    AUTHOR = {Haiman, M. 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},
      ISSN = {0012-365X},
   MRCLASS = {05E10 (05E05 20F55)},
  MRNUMBER = {1158783},
MRREVIEWER = {Andrea Brini},
       DOI = {10.1016/0012-365X(92)90368-P},
       opturl = {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},
      ISSN = {1073-7928},
   MRCLASS = {17B37},
  MRNUMBER = {2576287 (2011c:17029)},
MRREVIEWER = {Xin Tang},
       DOI = {10.1093/imrn/rnp121},
       opturl = {http://dx.doi.org/10.1093/imrn/rnp121},
}

@article {HIMN17,
    AUTHOR = {Hudson, T. and Ikeda, T. 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},
      ISSN = {0001-8708},
   MRCLASS = {19E20 (14M15 19D55)},
  MRNUMBER = {3709102},
MRREVIEWER = {Charles Weibel},
       DOI = {10.1016/j.aim.2017.08.038},
       opturl = {https://doi.org/10.1016/j.aim.2017.08.038},
}

@book{HK02,
 address              = {Providence, RI},
 author               = {Hong, Jin and Kang, Seok-Jin},
 isbn                 = {0-8218-2874-6},
 mrclass              = {17B37 (05E15 81R50 82B23)},
 mrnumber             = {1881971 (2002m:17012)},
 mrreviewer           = {A. 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, M. and Takagi, Taichiro and Tsuboi, Zengo},
 booktitle            = {Math{P}hys odyssey, 2001},
 mrclass              = {17B37 (81R10 82B23)},
 mrnumber             = {1903978 (2003e:17020)},
 mrreviewer           = {A. 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                = {ReM.s on fermionic formula},
 opturl                  = {http://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 = {http://dx.doi.org/10.1090/conm/297/05097},
}

@article {HM18,
    AUTHOR = {Hudson, T. 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},
      ISSN = {0195-6698},
   MRCLASS = {19E99 (14C35)},
  MRNUMBER = {3779613},
MRREVIEWER = {Claudio Pedrini},
       DOI = {10.1016/j.ejc.2018.01.001},
       opturl = {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},
      ISSN = {0022-2488},
     CODEN = {JMAPAQ},
   MRCLASS = {17B37},
  MRNUMBER = {2186789},
MRREVIEWER = {Alistair Savage},
       DOI = {10.1063/1.2121308},
       opturl = {http://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},
      ISSN = {0022-2488},
   MRCLASS = {17B37},
  MRNUMBER = {3098949},
MRREVIEWER = {Katsuyuki Naoi},
       DOI = {10.1063/1.4805584},
       opturl = {http://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},
      ISSN = {0092-7872},
     CODEN = {COALDM},
   MRCLASS = {17B37 (17B67)},
  MRNUMBER = {2152733},
MRREVIEWER = {Hyeonmi Lee},
       DOI = {10.1081/AGB-200063532},
       opturl = {http://dx.doi.org/10.1081/AGB-200063532},
}

@article {Hudson,
    AUTHOR = {Hudson, T.},
     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},
      ISSN = {1865-2433},
       DOI = {10.1017/is014005031jkt266},
       opturl = {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},
      ISBN = {0-521-37510-X},
   MRCLASS = {20-02 (20F32 20F55 20G15 20H15)},
  MRNUMBER = {1066460},
MRREVIEWER = {Louis Solomon},
       DOI = {10.1017/CBO9780511623646},
       opturl = {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 = {10.1093/imrn/rny051},
      NOTE = {To appear},
}

@article {IN09,
    AUTHOR = {Ikeda, T. 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},
      ISSN = {0002-9947},
   MRCLASS = {05E15 (14M15 14N15)},
  MRNUMBER = {2515809},
MRREVIEWER = {David E. Anderson},
       DOI = {10.1090/S0002-9947-09-04879-X},
       opturl = {https://doi.org/10.1090/S0002-9947-09-04879-X},
}

@article {IN13,
    AUTHOR = {Ikeda, T. 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},
      ISSN = {0001-8708},
   MRCLASS = {05E05 (14M15 19L47)},
  MRNUMBER = {3062739},
MRREVIEWER = {Li Li},
       DOI = {10.1016/j.aim.2013.04.014},
       opturl = {https://doi.org/10.1016/j.aim.2013.04.014},
}

@article {IS14,
    AUTHOR = {Ikeda, T. and Shimazaki, T.},
     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},
      ISSN = {1073-2780},
   MRCLASS = {05E05 (14M15 19E08)},
  MRNUMBER = {3247060},
MRREVIEWER = {Michael Orin Joyce},
       DOI = {10.4310/MRL.2014.v21.n2.a10},
       opturl = {https://doi.org/10.4310/MRL.2014.v21.n2.a10},
}

@misc {Iwao19,
 author = {Iwao, S.},
  title = {Grothendieck polynomials and the boson-fermion correspondence},
   year = {2019},
    eprint={1905.07692},
 }

@article{JS10,
    AUTHOR = {Jones, B. and Schilling, A.},
     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},
      ISSN = {0021-8693},
     CODEN = {JALGA4},
   MRCLASS = {17B37 (05E10)},
  MRNUMBER = {2684152 (2011f:17027)},
MRREVIEWER = {Jonathan Brundan},
       DOI = {10.1016/j.jalgebra.2010.07.041},
       opturl = {http://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 {Kamnitzer07,
    AUTHOR = {Kamnitzer, Joel},
     TITLE = {The crystal structure on the set of {M}irkovi\'c-{V}ilonen
              polytopes},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {215},
      YEAR = {2007},
    NUMBER = {1},
     PAGES = {66--93},
      ISSN = {0001-8708},
     CODEN = {ADMTA4},
   MRCLASS = {17B37},
  MRNUMBER = {2354986 (2009a:17021)},
MRREVIEWER = {Jae-Hoon Kwon},
       DOI = {10.1016/j.aim.2007.03.012},
       opturl = {http://dx.doi.org/10.1016/j.aim.2007.03.012},
}

@book{K02,
 address              = {Paris},
 author               = {Kashiwara, Masaki},
 isbn                 = {2-85629-126-0},
 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},
 issn                 = {0010-3616},
 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},
 issn                 = {0012-7094},
 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},
 opturl                  = {http://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},
 issn                 = {0012-7094},
 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},
 opturl                  = {http://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},
 opturl                  = {http://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},
 isbn                 = {0-521-37215-1; 0-521-46693-8},
 mrclass              = {17B65 (17B67 17B68 58F07)},
 mrnumber             = {1104219 (92k:17038)},
 pages                = {xxii+400},
 publisher            = {Cambridge University Press},
 title                = {Infinite-dimensional {L}ie algebras},
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@article{LP08,
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@incollection{LNSSS13,
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 BOOKTITLE = {25th {I}nternational {C}onference on {F}ormal {P}ower {S}eries
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 PUBLISHER = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy},
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}

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@article{LNSSS14II,
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@article{LNSSS15,
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  fjournal            = {Transformation Groups},
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  year                = {2017},
}

@article{LNSSS16,
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 mrclass              = {05E10 (05A15 17B37 52B12 81R50)},
 mrnumber             = {2891384},
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 year                 = {2012},
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@misc{Monical16,
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@misc{MPS18,
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 title    = {Crystal structures for symmetric {G}rothen\-dieck polynomials},
 year     = {2018},
 eprint={1807.03294},
}

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     note = {To appear},
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}


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@incollection {OS12,
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     TITLE = {K{KR} type bijection for the exceptional affine algebra {$E_6^{(1)}$}},
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@incollection{OSS03,
 author               = {Okado, M. and Schilling, A. and Shimozono, M.},
 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},
 opturl                  = {http://dx.doi.org/10.1142/9789812775405_0005},
 year                 = {2003},
 }

@article{OSS03II,
 author               = {Okado, M. and Schilling, A. and Shimozono, M.},
 coden                = {CMPHAY},
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 issn                 = {0010-3616},
 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, M. and Schilling, A. and Shimozono, M.},
 doi                  = {10.1090/S1088-4165-03-00155-9},
 fjournal             = {Representation Theory. An Electronic Journal of the American Mathematical Society},
 issn                 = {1088-4165},
 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 {$C^{(1)}_n$}},
 opturl                  = {http://dx.doi.org/10.1090/S1088-4165-03-00155-9},
 volume               = {7},
 year                 = {2003},
 }

@article{OSS13,
 author               = {Okado, M. and Sakamoto, Reiho and Schilling, A.},
 coden                = {JAOME7},
 doi                  = {10.1007/s10801-012-0383-z},
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 issn                 = {0925-9899},
 journal              = {J. Algebraic Combin.},
 mrclass              = {17B37 (05E10)},
 mrnumber             = {3035517},
 number               = {3},
 pages                = {571--599},
 title                = {Affine crystal structure on rigged configurations of type {$D_n^{(1)}$}},
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 year                 = {2013},
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@book {Pechenik:thesis,
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