% This is an example bibliography file for FPSAC submissions. @book {EC2, AUTHOR = {Stanley, Richard P.}, TITLE = {Enumerative combinatorics. {V}ol. 2}, SERIES = {Cambridge Studies in Advanced Mathematics}, VOLUME = {208}, EDITION = {Second}, NOTE = {With an appendix by Sergey Fomin}, PUBLISHER = {Cambridge University Press, Cambridge}, YEAR = {[2024] \copyright 2024}, PAGES = {xvi+783}, ISBN = {978-1-009-26249-1; 978-1-009-26248-4}, MRCLASS = {05-02 (05A15 05E05 05E10)}, MRNUMBER = {4621625}, } @incollection {Kir99, AUTHOR = {Kirillov, Anatol N.}, TITLE = {Ubiquity of {K}ostka polynomials}, BOOKTITLE = {Physics and combinatorics 1999 ({N}agoya)}, PAGES = {85--200}, PUBLISHER = {World Sci. Publ., River Edge, NJ}, YEAR = {2001}, MRCLASS = {05E10 (17B10)}, MRNUMBER = {1865038}, MRREVIEWER = {Michael\ A.\ Zabrocki}, DOI = {10.1142/9789812810199\_0006}, URL = {https://doi.org/10.1142/9789812810199_0006}, } @article {Springer1977, AUTHOR = {Hotta, R. and Springer, T. A.}, TITLE = {A specialization theorem for certain {W}eyl group representations and an application to the {G}reen polynomials of unitary groups}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {41}, YEAR = {1977}, NUMBER = {2}, PAGES = {113--127}, MRCLASS = {20G05}, MRNUMBER = {486164}, MRREVIEWER = {G.\ Lusztig}, DOI = {10.1007/BF01418371}, URL = {https://doi.org/10.1007/BF01418371}, } @article {Lecouvey2003, AUTHOR = {Lecouvey, Cedric}, TITLE = {Schensted-type correspondences and plactic monoids for types {$B_n$} and {$D_n$}}, JOURNAL = {J. Algebraic Combin.}, FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal}, VOLUME = {18}, YEAR = {2003}, NUMBER = {2}, PAGES = {99--133}, MRCLASS = {05E15 (17B37)}, MRNUMBER = {2002620}, MRREVIEWER = {Grant\ Walker}, DOI = {10.1023/A:1025154930381}, URL = {https://doi.org/10.1023/A:1025154930381}, } @book {Zab1998, AUTHOR = {Zabrocki, Michael Alan}, TITLE = {On the action of the {H}all-{L}ittlewood vertex operator}, NOTE = {Thesis (Ph.D.)--University of California, San Diego}, PUBLISHER = {ProQuest LLC, Ann Arbor, MI}, YEAR = {1998}, PAGES = {58 pp.}, MRCLASS = {99-05}, MRNUMBER = {2697177}, URL = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:9824647}, } @article {JK2021, AUTHOR = {Jang, Il-Seung and Kwon, Jae-Hoon}, TITLE = {Flagged {L}ittlewood-{R}ichardson tableaux and branching rule for classical groups}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {181}, YEAR = {2021}, PAGES = {Paper No. 105419, 51}, MRCLASS = {17B37 (05E10 22E46)}, MRNUMBER = {4216338}, MRREVIEWER = {Iwan\ Praton}, DOI = {10.1016/j.jcta.2021.105419}, URL = {https://doi.org/10.1016/j.jcta.2021.105419}, } @article {GOS2009, AUTHOR = {Fourier, Ghislain and Okado, Masato and Schilling, Anne}, TITLE = {Kirillov-{R}eshetikhin crystals for nonexceptional types}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {222}, YEAR = {2009}, NUMBER = {3}, PAGES = {1080--1116}, MRCLASS = {17B37 (17B10 17B67)}, MRNUMBER = {2553378}, MRREVIEWER = {Kailash\ C.\ Misra}, DOI = {10.1016/j.aim.2009.05.020}, URL = {https://doi.org/10.1016/j.aim.2009.05.020}, } @article {Lecouvey2006, AUTHOR = {Lecouvey, C\'edric}, TITLE = {Combinatorics of crystal graphs and {K}ostka-{F}oulkes polynomials for the root systems {$B_n,\ C_n$} and {$D_n$}}, JOURNAL = {European J. Combin.}, FJOURNAL = {European Journal of Combinatorics}, VOLUME = {27}, YEAR = {2006}, NUMBER = {4}, PAGES = {526--557}, MRCLASS = {05E15 (17B10)}, MRNUMBER = {2215214}, MRREVIEWER = {Jae-Hoon\ Kwon}, DOI = {10.1016/j.ejc.2005.01.006}, URL = {https://doi.org/10.1016/j.ejc.2005.01.006}, } @article {LecouLenart2020, AUTHOR = {Lecouvey, C\'edric and Lenart, Cristian}, TITLE = {Combinatorics of generalized exponents}, JOURNAL = {Int. Math. Res. Not. IMRN}, FJOURNAL = {International Mathematics Research Notices. IMRN}, YEAR = {2020}, NUMBER = {16}, PAGES = {4942--4992}, MRCLASS = {17B22 (05E10 17B10)}, MRNUMBER = {4139030}, MRREVIEWER = {Pierre\ Baumann}, DOI = {10.1093/imrn/rny157}, URL = {https://doi.org/10.1093/imrn/rny157}, } @article {Lecouvey2005, AUTHOR = {Lecouvey, C\'edric}, TITLE = {Kostka-{F}oulkes polynomials cyclage graphs and charge statistic for the root system {$C_n$}}, JOURNAL = {J. Algebraic Combin.}, FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal}, VOLUME = {21}, YEAR = {2005}, NUMBER = {2}, PAGES = {203--240}, MRCLASS = {05E05 (05E10 05E15)}, MRNUMBER = {2142409}, MRREVIEWER = {Kendra\ Killpatrick}, DOI = {10.1007/s10801-005-6909-x}, URL = {https://doi.org/10.1007/s10801-005-6909-x}, } @article {LasSch1978, AUTHOR = {Lascoux, Alain and Sch\"utzenberger, Marcel-Paul}, TITLE = {Sur une conjecture de {H}. {O}. {F}oulkes}, JOURNAL = {C. R. Acad. Sci. Paris S\'er. A-B}, FJOURNAL = {Comptes Rendus Hebdomadaires des S\'eances de l'Acad\'emie des Sciences. S\'eries A et B}, VOLUME = {286}, YEAR = {1978}, NUMBER = {7}, PAGES = {A323--A324}, MRCLASS = {20C30 (14M15)}, MRNUMBER = {472993}, } @article {SZ2006, AUTHOR = {Shimozono, Mark and Zabrocki, Mike}, TITLE = {Deformed universal characters for classical and affine algebras}, JOURNAL = {J. Algebra}, FJOURNAL = {Journal of Algebra}, VOLUME = {299}, YEAR = {2006}, NUMBER = {1}, PAGES = {33--61}, MRCLASS = {05E05 (05E15 20G05)}, MRNUMBER = {2225764}, MRREVIEWER = {Riccardo\ Biagioli}, DOI = {10.1016/j.jalgebra.2006.03.008}, URL = {https://doi.org/10.1016/j.jalgebra.2006.03.008}, } @incollection {Lusztig1983, AUTHOR = {Lusztig, George}, TITLE = {Singularities, character formulas, and a {$q$}-analog of weight multiplicities}, BOOKTITLE = {Analysis and topology on singular spaces, {II}, {III} ({L}uminy, 1981)}, SERIES = {Ast\'erisque}, VOLUME = {101-102}, PAGES = {208--229}, PUBLISHER = {Soc. Math. France, Paris}, YEAR = {1983}, MRCLASS = {17B10 (05A30 20G05 22E47)}, MRNUMBER = {737932}, MRREVIEWER = {James\ E.\ Humphreys}, } @incollection {SS1998, AUTHOR = {Schilling, Anne and Shimozono, Mark}, TITLE = {Bosonic formula for level-restricted paths}, BOOKTITLE = {Combinatorial methods in representation theory ({K}yoto, 1998)}, SERIES = {Adv. Stud. Pure Math.}, VOLUME = {28}, PAGES = {305--325}, PUBLISHER = {Kinokuniya, Tokyo}, YEAR = {2000}, MRCLASS = {17B37 (05A15 05E15)}, MRNUMBER = {1864486}, MRREVIEWER = {Yasmine\ B.\ Sanderson}, DOI = {10.2969/aspm/02810305}, URL = {https://doi.org/10.2969/aspm/02810305}, } @misc{S05, title={On the X=M=K Conjecture}, author={Mark Shimozono}, year={2005}, eprint={math/0501353}, archivePrefix={arXiv}, primaryClass={math.CO}, } @article {LS2007, AUTHOR = {Lecouvey, C\'edric and Shimozono, Mark}, TITLE = {Lusztig's {$q$}-analogue of weight multiplicity and one-dimensional sums for affine root systems}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {208}, YEAR = {2007}, NUMBER = {1}, PAGES = {438--466}, MRCLASS = {17B37 (17B67)}, MRNUMBER = {2304324}, MRREVIEWER = {Jae-Hoon\ Kwon}, DOI = {10.1016/j.aim.2006.03.001}, URL = {https://doi.org/10.1016/j.aim.2006.03.001}, } @article {BG2006, AUTHOR = {Bump, Daniel and Gamburd, Alex}, TITLE = {On the averages of characteristic polynomials from classical groups}, JOURNAL = {Comm. Math. Phys.}, FJOURNAL = {Communications in Mathematical Physics}, VOLUME = {265}, YEAR = {2006}, NUMBER = {1}, PAGES = {227--274}, MRCLASS = {60B15 (05E10 15A52 20G05 81R05)}, MRNUMBER = {2217304}, MRREVIEWER = {Uwe\ Franz}, DOI = {10.1007/s00220-006-1503-1}, URL = {https://doi.org/10.1007/s00220-006-1503-1}, } @article {Okada2016, AUTHOR = {Okada, Soichi}, TITLE = {Pieri rules for classical groups and equinumeration between generalized oscillating tableaux and semistandard tableaux}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {23}, YEAR = {2016}, NUMBER = {4}, PAGES = {Paper 4.43, 27}, MRCLASS = {05E10 (05A15 05A19 20G05)}, MRNUMBER = {3604801}, MRREVIEWER = {Rishi\ Nath}, DOI = {10.37236/6214}, URL = {https://doi.org/10.37236/6214}, } @article{Lee2023, AUTHOR = {Lee, Seung Jin}, TITLE = {Crystal {S}tructure on {K}ing {T}ableaux and {S}emistandard {O}scillating {T}ableaux}, JOURNAL = {Transform. Groups}, FJOURNAL = {Transformation Groups}, VOLUME = {30}, YEAR = {2025}, NUMBER = {2}, PAGES = {823--853}, DOI = {10.1007/s00031-023-09804-5}, URL = {https://doi.org/10.1007/s00031-023-09804-5}, } @article {LOS2012, AUTHOR = {Lecouvey, C\'edric and Okado, Masato and Shimozono, Mark}, TITLE = {Affine crystals, one-dimensional sums and parabolic {L}usztig {$q$}-analogues}, JOURNAL = {Math. Z.}, FJOURNAL = {Mathematische Zeitschrift}, VOLUME = {271}, YEAR = {2012}, NUMBER = {3-4}, PAGES = {819--865}, MRCLASS = {17B10 (17B37)}, MRNUMBER = {2945586}, MRREVIEWER = {Iwan\ Praton}, DOI = {10.1007/s00209-011-0892-9}, URL = {https://doi.org/10.1007/s00209-011-0892-9}, } @article {OS2008, 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}, MRREVIEWER = {David\ Hernandez}, DOI = {10.1090/S1088-4165-08-00329-4}, URL = {https://doi.org/10.1090/S1088-4165-08-00329-4}, } @incollection {HKO98, AUTHOR = {Hatayama, G. and Kuniba, A. and Okado, M. and Takagi, T. and Yamada, Y.}, TITLE = {Remarks on fermionic formula}, BOOKTITLE = {Recent developments in quantum affine algebras and related topics ({R}aleigh, {NC}, 1998)}, SERIES = {Contemp. Math.}, VOLUME = {248}, PAGES = {243--291}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {1999}, MRCLASS = {81R50 (17B37 81R10 82B23)}, MRNUMBER = {1745263}, MRREVIEWER = {Andrei\ G.\ Bytsko}, DOI = {10.1090/conm/248/03826}, URL = {https://doi.org/10.1090/conm/248/03826}, } @incollection {HKO01, AUTHOR = {Hatayama, Goro and Kuniba, Atsuo and Okado, Masato and Takagi, Taichiro and Tsuboi, Zengo}, TITLE = {Paths, crystals and fermionic formulae}, BOOKTITLE = {Math{P}hys odyssey, 2001}, SERIES = {Prog. Math. Phys.}, VOLUME = {23}, PAGES = {205--272}, PUBLISHER = {Birkh\"auser Boston, Boston, MA}, YEAR = {2002}, MRCLASS = {17B37 (81R10 82B23)}, MRNUMBER = {1903978}, MRREVIEWER = {Anne\ Schilling}, } @article {NY1997, AUTHOR = {Nakayashiki, Atsushi and Yamada, Yasuhiko}, TITLE = {Kostka polynomials and energy functions in solvable lattice models}, JOURNAL = {Selecta Math. (N.S.)}, FJOURNAL = {Selecta Mathematica. New Series}, VOLUME = {3}, YEAR = {1997}, NUMBER = {4}, PAGES = {547--599}, MRCLASS = {05E05 (17B10 17B37 81R50 82B23)}, MRNUMBER = {1613527}, MRREVIEWER = {Kailash\ C.\ Misra}, DOI = {10.1007/s000290050020}, URL = {https://doi.org/10.1007/s000290050020}, } @inproceedings {Las1989, AUTHOR = {Lascoux, Alain}, TITLE = {Cyclic permutations on words, tableaux and harmonic polynomials}, BOOKTITLE = {Proceedings of the {H}yderabad {C}onference on {A}lgebraic {G}roups ({H}yderabad, 1989)}, PAGES = {323--347}, PUBLISHER = {Manoj Prakashan, Madras}, YEAR = {1991}, MRCLASS = {05E10}, MRNUMBER = {1131318}, MRREVIEWER = {Piotr\ Pragacz}, }