% Encoding: UTF-8

@InCollection{FK94,
  author    = {Fomin, S. and Kirillov, A.},
  booktitle = {Formal power series and algebraic combinatorics/{S}\'eries formelles et combinatoire alg\'ebrique},
  title     = {Grothendieck polynomials and the Yang-Baxter equation},
  pages     = {183--189},
  publisher = {DIMACS, Piscataway, NJ},
  mrclass   = {05E05 (14N15)},
  mrnumber  = {2307216},
  year      = {1994},
  url={https://pdfs.semanticscholar.org/df6a/dba018747319eb2872b785d168392466fb03.pdf}
}

@InCollection{LS83,
  author     = {Lascoux, A. and Sch{\"u}tzenberger, M.},
  booktitle  = {Invariant theory ({M}ontecatini, 1982)},
  title      = {Symmetry and flag manifolds},
  doi        = {10.1007/BFb0063238},
  pages      = {118--144},
  publisher  = {Springer, Berlin},
  series     = {Lecture Notes in Math.},
  volume     = {996},
  mrclass    = {14M17 (20B30 32M10)},
  mrnumber   = {718129},
  mrreviewer = {Konrad Drechsler},
  year       = {1983},
}

@Article{LS82,
  author   = {Lascoux, A. and Sch{\"u}tzenberger, M.},
  title    = {Structure de Hopf de l'Anneau de cohomologie et de l'Anneau de Grothendieck d'une vari\'et\'e de drapeaux},
  issn     = {0249-6321},
  number   = {11},
  pages    = {629--633},
  volume   = {295},
  coden    = {CHASAP},
  fjournal = {Comptes Rendus des S\'eances de l'Acad\'emie des Sciences. S\'erie I. Math\'ematique},
  journal  = {C. R. Acad. Sci. Paris S\'er. I Math.},
  mrclass  = {14M17},
  mrnumber = {686357},
  year     = {1982},
}

@misc{Monical16,
  author = {Monical, C.},
  title  = {Set-valued skyline fillings},
  eprint = {1611.08777},
  eprinttype={arxiv},
  year   = {2016},
}

@Article{K93,
  author     = {Kashiwara, M.},
  title      = {The crystal base and {L}ittelmann's refined {D}emazure character formula},
  doi        = {10.1215/S0012-7094-93-07131-1},
  issn       = {0012-7094},
  number     = {3},
  pages      = {839--858},
  volume     = {71},
  coden      = {DUMJAO},
  fjournal   = {Duke Mathematical Journal},
  journal    = {Duke Math. J.},
  mrclass    = {17B37 (17B10 17B67)},
  mrnumber   = {1240605 (95b:17019)},
  mrreviewer = {Kailash C. Misra},
  year       = {1993},
}

@Article{Buch02,
  author     = {Buch, A.},
  title      = {A {L}ittlewood-{R}ichardson rule for the {$K$}-theory of {G}rassmannians},
  doi        = {10.1007/BF02392644},
  issn       = {0001-5962},
  number     = {1},
  pages      = {37--78},
  volume     = {189},
  coden      = {ACMAA8},
  fjournal   = {Acta Mathematica},
  journal    = {Acta Math.},
  mrclass    = {14M15 (05E05 05E15)},
  mrnumber   = {1946917},
  mrreviewer = {Frank Sottile},
  year       = {2002},
}

@Article{Matsumura18,
  author   = {Matsumura, T.},
  title    = {Flagged Grothendieck polynomials},
  doi      = {10.1007/s10801-018-0841-3},
  fjournal = {Journal of Algebraic Combinatorics. An International Journal},
  journal  = {J. Algebraic Combin.},
  year     = {2018},
}

@Book{BS17,
  author    = {Bump, D. and Schilling, A.},
  title     = {Crystal bases},
  doi       = {10.1142/9876},
  isbn      = {978-981-4733-44-1},
  note      = {Representations and combinatorics},
  pages     = {xii+279},
  publisher = {World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ},
  mrclass   = {05-01 (05E10 14T05 17B10)},
  mrnumber  = {3642318},
  year      = {2017},
}

@Article{RY15,
  author     = {Ross, C. and Yong, A.},
  title      = {Combinatorial rules for three bases of polynomials},
  issn       = {1286-4889},
  pages      = {Art. B74a, 11 pages},
  volume     = {74},
  fjournal   = {S\'eminaire Lotharingien de Combinatoire},
  journal    = {S\'em. Lothar. Combin.},
  mrclass    = {05E05},
  mrnumber   = {3383158},
  mrreviewer = {Justin M. Allman},
  year       = {2015},
}

@misc{PS19,
  author = {Pechenik, O. and Scrimshaw, T.},
  title  = {K-theoretic crystals for set-valued tableaux of rectangular shape},
  eprint = {1904.09674},
  eprinttype={arxiv},
  year   = {2019},
}

@misc{MPS18,
  author = {Monical, C. and Pechenik, O. and Scrimshaw, T.},
  title  = {Crystal structures for symmetric Grothendieck polynomials},
  eprint = {1807.03294},
  eprinttype={arxiv},
  year   = {2018},
}

@InCollection{Lascoux90,
  author     = {Lascoux, A.},
  booktitle  = {The Grothendieck {F}estsch\-rift, {V}ol. {III}},
  title      = {Anneau de Grothendieck de la vari\'{e}t\'{e} de drapeaux},
  doi        = {10.1007/978-0-8176-4576-2_1},
  pages      = {1--34},
  publisher  = {Birkh\"{a}user Boston, Boston, MA},
  series     = {Progr. Math.},
  volume     = {88},
  mrclass    = {14M15 (19A99)},
  mrnumber   = {1106909},
  mrreviewer = {Tadeusz J\'{o}zefiak},
  year       = {1990},
}

@Article{LZ17,
  author     = {Lenart, C. and Zainoulline, K.},
  title      = {Towards generalized cohomology Schubert calculus via formal root polynomials},
  doi        = {10.4310/MRL.2017.v24.n3.a11},
  issn       = {1073-2780},
  number     = {3},
  pages      = {839--877},
  volume     = {24},
  fjournal   = {Mathematical Research Letters},
  journal    = {Math. Res. Lett.},
  mrclass    = {14N15 (05E15 14M15 19L47 55N22)},
  mrnumber   = {3696606},
  mrreviewer = {Justin M. Allman},
  year       = {2017},
}

@Manual{sage,
  title        = {Sage Mathematics Software (Version 8.6)},
  note     = {\href{http://www.sagemath.org}{http://www.sagemath.org}},
  organization = {The Sage Developers},
  key          = {Sage},
  year         = {2019},
}

@Article{Kirillov:notes,
  author   = {Kirillov, A.},
  title    = {Notes on Schubert, Grothendieck and key polynomials},
  pages    = {Paper No. 034, 1--56},
  volume   = {12},
  doi={ https://doi.org/10.3842/SIGMA.2016.034},
  fjournal = {SIGMA. Symmetry, Integrability and Geometry. Methods and Applications},
  journal  = {SIGMA Symmetry Integrability Geom. Methods Appl.},
  year     = {2016},
}

@Article{MPS18II,
  author = {Monical, C. and Pechenik, O. and Searles, D.},
  title  = {Polynomials from combinatorial {$K$}-theory},
  doi    = {10.4153/S0008414X19000464},
  note   = {To appear in {\it Canad. J. Math.}},
  year   = {2020},
}

@InCollection{Lascoux01,
  author     = {Lascoux, A.},
  booktitle  = {Physics and combinatorics, 2000 ({N}agoya)},
  title      = {Transition on Grothendieck polynomials},
  doi        = {10.1142/9789812810007_0007},
  pages      = {164--179},
  publisher  = {World Sci. Publ., River Edge, NJ},
  mrclass    = {14M15 (05E05 19E08)},
  mrnumber   = {1872255},
  mrreviewer = {Frank Sottile},
  year       = {2001},
}

@InCollection{LS90,
  author     = {Lascoux, A. and Sch{\"u}tzenberger, M.},
  booktitle  = {Invariant theory and tableaux ({M}inneapolis, {MN}, 1988)},
  title      = {Keys \& standard bases},
  pages      = {125--144},
  publisher  = {Springer, New York},
  series     = {IMA Vol. Math. Appl.},
  volume     = {19},
  mrclass    = {05E10 (20C30)},
  mrnumber   = {1035493},
  mrreviewer = {Piotr Pragacz},
  year       = {1990},
}