@article {99Azen, AUTHOR = {Azenhas, Olga}, TITLE = {The admissible interval for the invariant factors of a product of matrices}, JOURNAL = {Linear and Multilinear Algebra}, FJOURNAL = {Linear and Multilinear Algebra}, VOLUME = {46}, YEAR = {1999}, NUMBER = {1-2}, PAGES = {51--99}, MRCLASS = {15A23 (05A17 05E10 15A33)}, MRNUMBER = {1712853}, DOI = {10.1080/03081089908818605}, } @article {19TW, AUTHOR = {V. Tewari and S. van Willigenburg}, TITLE = {Permuted composition tableaux, {$0$}-{H}ecke algebra and labeled binary trees}, JOURNAL = {J. Combin. Theory Ser. A}, VOLUME = {161}, YEAR = {2019}, PAGES = {420--452}, DOI = {10.1016/j.jcta.2018.09.003} } @article {05W, AUTHOR = {van Willigenburg, Stephanie}, TITLE = {Equality of {S}chur and skew {S}chur functions}, JOURNAL = {Ann. Comb.}, FJOURNAL = {Annals of Combinatorics}, VOLUME = {9}, YEAR = {2005}, NUMBER = {3}, PAGES = {355--362}, MRCLASS = {05E05 (05E10)}, MRNUMBER = {2176598}, MRREVIEWER = {Grant\ Walker}, DOI = {10.1007/s00026-005-0263-5}, } @article {13Taskin, AUTHOR = {Ta\c{s}kin, M\"{u}ge}, TITLE = {Inner tableau translation property of the weak order and related results}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {141}, YEAR = {2013}, NUMBER = {3}, PAGES = {837--856}, MRCLASS = {05E10 (20B30)}, MRNUMBER = {3003677}, MRREVIEWER = {Eric S. Egge}, DOI = {10.1090/S0002-9939-2012-11415-7} } @article {04Mel, AUTHOR = {Melnikov, Anna}, TITLE = {On orbital variety closures in {$sl_n$}. {I}. {I}nduced {D}uflo order}, JOURNAL = {J. Algebra}, FJOURNAL = {Journal of Algebra}, VOLUME = {271}, YEAR = {2004}, NUMBER = {1}, PAGES = {179--233}, MRCLASS = {17B10 (05E10 20G05)}, MRNUMBER = {2022481}, MRREVIEWER = {Karin Baur}, DOI ={10.1016/j.jalgebra.2003.09.012} } @article {15TW, AUTHOR = {V. Tewari and S. van Willigenburg}, TITLE = {Modules of the {$0$}-{H}ecke algebra and quasisymmetric {S}chur functions}, JOURNAL = {Adv. Math.}, VOLUME = {285}, YEAR = {2015}, PAGES = {1025--1065}, DOI = {10.1016/j.aim.2015.08.012} } @article {79Norton, AUTHOR = {P. Norton}, TITLE = {{$0$}-{H}ecke algebras}, JOURNAL = {J. Austral. Math. Soc. Ser. A}, VOLUME = {27}, YEAR = {1979}, NUMBER = {3}, PAGES = {337--357}, DOI = {https://doi.org/10.1017/S1446788700012453} } @article {96DKLT, AUTHOR = {G. Duchamp and D. Krob and B. Leclerc and J.-Y. Thibon}, TITLE = {Fonctions quasi-sym\'{e}triques, fonctions sym\'{e}triques non commutatives et alg\`ebres de {H}ecke \`a {$q=0$}}, JOURNAL = {C. R. Acad. Sci. Paris S\'{e}r. I Math.}, VOLUME = {322}, YEAR = {1996}, NUMBER = {2}, PAGES = {107--112}, URL = {https://hal.science/hal-00018535} } @article {06HNT, AUTHOR = {F. Hivert and J-C. Novelli and J-Y. Thibon}, TITLE = {Yang-{B}axter bases of {$0$}-{H}ecke algebras and representation theory of {$0$}-{A}riki--{K}oike--{S}hoji algebras}, JOURNAL = {Adv. Math.}, VOLUME = {205}, YEAR = {2006}, NUMBER = {2}, PAGES = {504--548} } @article {97KT, AUTHOR = {D. Krob and J-Y. Thibon}, TITLE = {Noncommutative symmetric functions. {IV}. {Q}uantum linear groups and {H}ecke algebras at {$q=0$}}, JOURNAL = {J. Algebraic Combin.}, VOLUME = {6}, YEAR = {1997}, NUMBER = {4}, PAGES = {339--376} } @article {19Konig, AUTHOR = {S. K\"{o}nig}, TITLE = {The decomposition of {$0$}-{H}ecke modules associated to quasisymmetric {S}chur functions}, JOURNAL = {Algebr. Comb.}, VOLUME = {2}, YEAR = {2019}, NUMBER = {5}, PAGES = {735--751} } @article{19Searles, AUTHOR = {Searles, Dominic}, TITLE = {Indecomposable {$0$}-{H}ecke modules for extended {S}chur functions}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {148}, YEAR = {2020}, NUMBER = {5}, PAGES = {1933--1943}, DOI = {10.1090/proc/14879} } @article {11HLMW, AUTHOR = {J. Haglund and K. Luoto and S. Mason and S. van Willigenburg}, TITLE = {Quasisymmetric {S}chur functions}, JOURNAL = {J. Combin. Theory Ser. A}, VOLUME = {118}, YEAR = {2011}, NUMBER = {2}, PAGES = {463--490} } @article {05Fayers, AUTHOR = {M. Fayers}, TITLE = {{$0$}-{H}ecke algebras of finite {C}oxeter groups}, JOURNAL = {J. Pure Appl. Algebra}, VOLUME = {199}, YEAR = {2005}, NUMBER = {1-3}, PAGES = {27--41} } @article {16Huang, AUTHOR = {J. Huang}, TITLE = {A tableau approach to the representation theory of {$0$}-{H}ecke algebras}, JOURNAL = {Ann. Comb.}, VOLUME = {20}, YEAR = {2016}, NUMBER = {4}, PAGES = {831--868}, DOI = {10.1007/s00026-016-0338-5} } @article {13HMR, AUTHOR = {J. Haglund and S. Mason and J. Remmel}, TITLE = {Properties of the nonsymmetric {R}obinson--{S}chensted--{K}nuth algorithm}, JOURNAL = {J. Algebraic Combin.}, VOLUME = {38}, YEAR = {2013}, NUMBER = {2}, PAGES = {285--327} } @article {11BG, AUTHOR = {B. Deng and G. Yang}, TITLE = {Representation type of {$0$}-{H}ecke algebras}, JOURNAL = {Sci. China Math.}, VOLUME = {54}, YEAR = {2011}, NUMBER = {3}, PAGES = {411--420} } @article {15OAM, AUTHOR = {Azenhas, Olga and Conflitti, Alessandro and Mamede, Ricardo}, TITLE = {Multiplicity-free skew {S}chur functions with full interval support}, JOURNAL = {S\'{e}m. Lothar. Combin.}, FJOURNAL = {S\'{e}minaire Lotharingien de Combinatoire}, VOLUME = {75}, YEAR = {[2015--2019]}, PAGES = {Art. B75j, 35}, MRCLASS = {05E05 (05A17 05E10 20C30)}, MRNUMBER = {4072428}, MRREVIEWER = {Tanja Stojadinovi\'{c}} } @article {02DHT, AUTHOR = {G. Duchamp and F. Hivert and J.-Y. Thibon}, TITLE = {Noncommutative symmetric functions. {VI}. {F}ree quasi-symmetric functions and related algebras}, JOURNAL = {Internat. J. Algebra Comput.}, VOLUME = {12}, YEAR = {2002}, NUMBER = {5}, PAGES = {671--717}, DOI = {10.1142/S0218196702001139} } @article {11BLW, AUTHOR = {C. Bessenrodt and K. Luoto and S. van Willigenburg}, TITLE = {Skew quasisymmetric {S}chur functions and noncommutative {S}chur functions}, JOURNAL = {Adv. Math.}, VOLUME = {226}, YEAR = {2011}, NUMBER = {5}, PAGES = {4492--4532} } @article {11HLMW2, AUTHOR = {J. Haglund and K. Luoto and S. Mason and S. van Willigenburg}, TITLE = {Refinements of the {L}ittlewood--{R}ichardson rule}, JOURNAL = {Trans. Amer. Math. Soc.}, VOLUME = {363}, YEAR = {2011}, NUMBER = {3}, PAGES = {1665--1686} } @article {15BBSSZ, AUTHOR = {C. Berg and N. Bergeron and F. Saliola and L. Serrano and M. Zabrocki}, TITLE = {Indecomposable modules for the dual immaculate basis of quasi-symmetric functions}, JOURNAL = {Proc. Amer. Math. Soc.}, VOLUME = {143}, YEAR = {2015}, NUMBER = {3}, PAGES = {991--1000}, DOI = {10.1090/S0002-9939-2014-12298-2} } @book {95ARS, AUTHOR = {M. Auslander and I. Reiten and S. Smal\o}, TITLE = {Representation theory of {A}rtin algebras}, SERIES = {Cambridge Studies in Advanced Mathematics}, VOLUME = {36}, PUBLISHER = {Cambridge University Press, Cambridge}, YEAR = {1995} } @book {13LMvW, AUTHOR = {K. Luoto and S. Mykytiuk and S. van Willigenburg}, TITLE = {An introduction to quasisymmetric {S}chur functions}, SERIES = {SpringerBriefs in Mathematics}, PUBLISHER = {Springer, New York}, YEAR = {2013} } @article {09Mason, AUTHOR = {S. Mason}, TITLE = {An explicit construction of type {A} {D}emazure atoms}, JOURNAL = {J. Algebraic Combin.}, VOLUME = {29}, YEAR = {2009}, NUMBER = {3}, PAGES = {295--313} } @article {08HHL, AUTHOR = {J. Haglund and M. Haiman and N. Loehr}, TITLE = {A combinatorial formula for nonsymmetric {M}acdonald polynomials}, JOURNAL = {Amer. J. Math.}, VOLUME = {130}, YEAR = {2008}, NUMBER = {2}, PAGES = {359--383} } @article {20CKNO, AUTHOR = {Choi, Seung-Il and Kim, Young-Hun and Nam, Sun-Young and Oh, Young-Tak}, TITLE = {Modules of the 0-{H}ecke algebra arising from standard permuted composition tableaux}, JOURNAL = {J. Combin. Theory Ser. A}, VOLUME = {179}, YEAR = {2021}, PAGES = {105389, 34} } @book {02HK, AUTHOR = {Hong, Jin and Kang, Seok-Jin}, TITLE = {Introduction to quantum groups and crystal bases}, SERIES = {Graduate Studies in Mathematics}, VOLUME = {42}, PUBLISHER = {American Mathematical Society, Providence, RI}, YEAR = {2002}, PAGES = {xviii+307} } @incollection {95Kas, AUTHOR = {Kashiwara, Masaki}, TITLE = {On crystal bases}, BOOKTITLE = {Representations of groups ({B}anff, {AB}, 1994)}, SERIES = {CMS Conf. Proc.}, VOLUME = {16}, PAGES = {155--197}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {1995} } @article {93Kas, AUTHOR = {Kashiwara, Masaki}, TITLE = {The crystal base and {L}ittelmann's refined {D}emazure character formula}, JOURNAL = {Duke Math. J.}, FJOURNAL = {Duke Mathematical Journal}, VOLUME = {71}, YEAR = {1993}, NUMBER = {3}, PAGES = {839--858} } @article {92Hai, 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} } @article {74Gre, AUTHOR = {Greene, Curtis}, TITLE = {An extension of {S}chensted's theorem}, JOURNAL = {Advances in Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {14}, YEAR = {1974}, PAGES = {254--265}, MRCLASS = {05A17}, MRNUMBER = {354395}, MRREVIEWER = {A. O. Morris}, DOI = {10.1016/0001-8708(74)90031-0} } @article {61Sch, AUTHOR = {Schensted, C.}, TITLE = {Longest increasing and decreasing subsequences}, JOURNAL = {Canadian J. Math.}, FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de Math\'{e}matiques}, VOLUME = {13}, YEAR = {1961}, PAGES = {179--191}, MRCLASS = {05.00}, MRNUMBER = {121305}, MRREVIEWER = {D. E. Rutherford}, DOI = {10.4153/CJM-1961-015-3} } @book {97Ful, 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{91Sag, AUTHOR = {Sagan, Bruce E.}, TITLE = {The symmetric group - representations, combinatorial algorithms, and symmetric functions.}, PAGES = {I-XV, 1-197}, PUBLISHER = {Wadsworth}, SERIES = {Wadsworth \& Brooks / Cole mathematics series}, YEAR = {1991} } @article {07Len, AUTHOR = {Lenart, Cristian}, TITLE = {On the combinatorics of crystal graphs. {I}. {L}usztig's involution}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {211}, YEAR = {2007}, NUMBER = {1}, PAGES = {204--243} } @book {17BS, 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} } @article {95RS, AUTHOR = {Reiner, Victor and Shimozono, Mark}, TITLE = {Key polynomials and a flagged {L}ittlewood-{R}ichardson rule}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {70}, YEAR = {1995}, NUMBER = {1}, PAGES = {107--143} } @article {05HHL, AUTHOR = {Haglund, J. and Haiman, M. and Loehr, N.}, TITLE = {A combinatorial formula for nonsymmetric {M}acdonald polynomials}, JOURNAL = {Amer. J. Math.}, FJOURNAL = {American Journal of Mathematics}, VOLUME = {130}, YEAR = {2008}, NUMBER = {2}, PAGES = {359--383} } @book {93Lus, AUTHOR = {Lusztig, George}, TITLE = {Introduction to quantum groups}, SERIES = {Progress in Mathematics}, VOLUME = {110}, PUBLISHER = {Birkh\"{a}user Boston, Inc., Boston, MA}, YEAR = {1993}, PAGES = {xii+341} } @article {19AS, AUTHOR = {Sami Assaf and Dominic Searles}, TITLE = {{K}ohnert polynomials}, JOURNAL = {Experiment. Math.}, YEAR = {2019}, PAGES = {1--27} } @book {90LS, AUTHOR = {Lascoux, Alain and Sch\"{u}tzenberger, Marcel-Paul}, TITLE = {Keys \& standard bases}, BOOKTITLE = {Invariant theory and tableaux ({M}inneapolis, {MN}, 1988)}, SERIES = {IMA Vol. Math. Appl.}, VOLUME = {19}, PAGES = {125--144}, PUBLISHER = {Springer, New York}, YEAR = {1990} } @article {14BBSSZ, AUTHOR = {C. Berg and N. Bergeron and F. Saliola and L. Serrano and M. Zabrocki}, TITLE = {A lift of the {S}chur and {H}all-{L}ittlewood bases to non-commutative symmetric functions}, JOURNAL = {Canad. J. Math.}, VOLUME = {66}, YEAR = {2014}, NUMBER = {3}, PAGES = {525--565} } @article {87Lus, AUTHOR = {Lusztig, George}, TITLE = {Cells in affine {W}eyl groups. {II}}, JOURNAL = {J. Algebra}, FJOURNAL = {Journal of Algebra}, VOLUME = {109}, YEAR = {1987}, NUMBER = {2}, PAGES = {536--548}, MRCLASS = {20H15 (17B10 17B20)}, MRNUMBER = {902967}, MRREVIEWER = {Bhama Srinivasan}, DOI = {10.1016/0021-8693(87)90154-2} } @article {88BW, AUTHOR = {Bj\"{o}rner, Anders and Wachs, Michelle L.}, TITLE = {Generalized quotients in {C}oxeter groups}, JOURNAL = {Trans. Amer. Math. Soc.}, VOLUME = {308}, YEAR = {1988}, NUMBER = {1}, PAGES = {1--37} } @article {91BW, AUTHOR = {Bj\"{o}rner, Anders and Wachs, Michelle L.}, TITLE = {Permutation statistics and linear extensions of posets}, JOURNAL = {J. Combin. Theory Ser. A}, VOLUME = {58}, YEAR = {1991}, NUMBER = {1}, PAGES = {85--114}, DOI = {10.1016/0097-3165(91)90075-R}, } @article {11Denton, AUTHOR = {Denton, Tom}, TITLE = {A combinatorial formula for orthogonal idempotents in the 0-{H}ecke algebra of the symmetric group}, JOURNAL = {Electron. J. Combin.}, VOLUME = {18}, YEAR = {2011}, NUMBER = {1}, PAGES = {Paper 28, 20} } @book {05BB, AUTHOR = {A. Bj\"{o}rner and F. Brenti}, TITLE = {Combinatorics of {C}oxeter groups}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {231}, PUBLISHER = {Springer, New York}, YEAR = {2005} } @article{83BV, title={Primitive ideals and orbital integrals in complex exceptional groups}, author={Barbasch, Dan and Vogan, David}, journal={Journal of Algebra}, volume={80}, number={2}, pages={350--382}, year={1983} } @article{17ER, title={Schur-positive sets of permutations via products and grid classes}, author={Elizalde, Sergi and Roichman, Yuval}, journal={Journal of Algebraic Combinatorics}, volume={45}, number={2}, pages={363--405}, year={2017} } @book {72Stanley, AUTHOR = {Stanley, Richard}, TITLE = {Ordered structures and partitions}, NOTE = {Memoirs of the American Mathematical Society, No. 119}, PUBLISHER = {American Mathematical Society, Providence, R.I.}, YEAR = {1972}, PAGES = {iii+104}, DOI = {10.1090/memo/0119} } @book {99Stanley, AUTHOR = {Stanley, Richard}, TITLE = {Enumerative combinatorics. {V}ol. 2}, SERIES = {Cambridge Studies in Advanced Mathematics}, VOLUME = {62}, PUBLISHER = {Cambridge University Press, Cambridge}, YEAR = {1999}, PAGES = {xii+581} } @book {12Stanley, AUTHOR = {Stanley, Richard}, TITLE = {Enumerative combinatorics. {V}ol. 1}, SERIES = {Cambridge Studies in Advanced Mathematics}, VOLUME = {49}, EDITION = {Second}, PUBLISHER = {Cambridge University Press, Cambridge}, YEAR = {2012}, PAGES = {xiv+626} } @book {06ASS, AUTHOR = {Assem, Ibrahim and Simson, Daniel and Skowro\'{n}ski, Andrzej}, TITLE = {Elements of the representation theory of associative algebras. {V}ol. 1}, SERIES = {London Mathematical Society Student Texts}, VOLUME = {65}, PUBLISHER = {Cambridge University Press, Cambridge}, YEAR = {2006}, PAGES = {x+458} } @misc{22KY, AUTHOR = {Kim, Young-Hun and Yoo, Semin}, EPRINT = {2211.06575}, EPRINTTYPE = {arxiv}, TITLE = {Weak {B}ruhat interval modules of the $0$-{H}ecke algebra for genomic {S}chur functions}, YEAR = {2022} } @misc{23KLO, title={Regular Schur labeled skew shape posets and their 0-Hecke modules}, author={Young-Hun Kim and So-Yeon Lee and Young-Tak Oh}, year={2023}, EPRINTTYPE = {arxiv}, eprint={2310.20571} } @article {20BS, AUTHOR = {Bardwell, Joshua and Searles, Dominic}, TITLE = {0-{H}ecke modules for {Y}oung row-strict quasisymmetric {S}chur functions}, JOURNAL = {European J. Combin.}, VOLUME = {102}, YEAR = {2022}, PAGES = {103494, 18}, DOI = {10.1016/j.ejc.2021.103494} } @article {09BL, AUTHOR = {Bergeron, Nantel and Li, Huilan}, TITLE = {Algebraic structures on {G}rothendieck groups of a tower of algebras}, JOURNAL = {J. Algebra}, VOLUME = {321}, YEAR = {2009}, NUMBER = {8}, PAGES = {2068--2084} } @article {15MN, AUTHOR = {Mason, Sarah and Niese, Elizabeth}, TITLE = {Skew row-strict quasisymmetric {S}chur functions}, JOURNAL = {J. Algebraic Combin.}, VOLUME = {42}, YEAR = {2015}, NUMBER = {3}, PAGES = {763--791} } @article {14MR, AUTHOR = {Mason, Sarah and Remmel, Jeffrey}, TITLE = {Row-strict quasisymmetric {S}chur functions}, JOURNAL = {Ann. Comb.}, VOLUME = {18}, YEAR = {2014}, NUMBER = {1}, PAGES = {127--148} } @article {99KT, AUTHOR = {Krob, Daniel and Thibon, Jean-Yves}, TITLE = {Noncommutative symmetric functions. {V}. {A} degenerate version of {$U_q(gl_N)$}}, JOURNAL = {Internat. J. Algebra Comput.}, VOLUME = {9}, YEAR = {1999}, NUMBER = {3-4}, PAGES = {405--430} } @article {00Hivert, AUTHOR = {Hivert, Florent}, TITLE = {Hecke algebras, difference operators, and quasi-symmetric functions}, JOURNAL = {Adv. Math.}, VOLUME = {155}, YEAR = {2000}, NUMBER = {2}, PAGES = {181--238} } @book {11SY, AUTHOR = {Skowro\'{n}ski, Andrzej and Yamagata, Kunio}, TITLE = {Frobenius algebras. {I}}, SERIES = {EMS Textbooks in Mathematics}, PUBLISHER = {European Mathematical Society (EMS), Z\"{u}rich}, YEAR = {2011}, PAGES = {xii+650} } @article {85GR, AUTHOR = {Garsia, A. M. and Remmel, J.}, TITLE = {Shuffles of permutations and the {K}ronecker product}, JOURNAL = {Graphs Combin.}, FJOURNAL = {Graphs and Combinatorics}, VOLUME = {1}, YEAR = {1985}, NUMBER = {3}, PAGES = {217--263}, MRCLASS = {05A17 (05A15 20C30)}, MRNUMBER = {951014}, MRREVIEWER = {Dennis White}, DOI = {10.1007/BF02582950} } @article {79PJ, AUTHOR = {Peel, M. H. and James, G. D.}, TITLE = {Specht series for skew representations of symmetric groups}, JOURNAL = {J. Algebra}, FJOURNAL = {Journal of Algebra}, VOLUME = {56}, YEAR = {1979}, NUMBER = {2}, PAGES = {343--364}, MRCLASS = {20C30}, MRNUMBER = {528580}, MRREVIEWER = {J\"{u}rgen Tappe}, DOI = {10.1016/0021-8693(79)90342-9} } @article {93M, AUTHOR = {Malvenuto, Claudia}, TITLE = {{$P$}-partitions and the plactic congruence}, JOURNAL = {Graphs Combin.}, FJOURNAL = {Graphs and Combinatorics}, VOLUME = {9}, YEAR = {1993}, NUMBER = {1}, PAGES = {63--73}, MRCLASS = {05E10 (06A07)}, MRNUMBER = {1215586}, MRREVIEWER = {Kalathoor Varadarajan}, DOI = {10.1007/BF01195328} } @article {95MR, AUTHOR = {Malvenuto, Clauda and Reutenauer, Christophe}, TITLE = {Duality between quasi-symmetric functions and the {S}olomon descent algebra}, JOURNAL = {J. Algebra}, VOLUME = {177}, YEAR = {1995}, NUMBER = {3}, PAGES = {967--982} } @article {18TW, AUTHOR = {Tewari, Vasu and van Willigenburg, Stephanie}, TITLE = {Quasisymmetric and noncommutative skew {P}ieri rules}, JOURNAL = {Adv. in Appl. Math.}, VOLUME = {100}, YEAR = {2018}, PAGES = {101--121} } @article {11DY, AUTHOR = {Deng, BangMing and Yang, GuiYu}, TITLE = {Representation type of 0-{H}ecke algebras}, JOURNAL = {Sci. China Math.}, VOLUME = {54}, YEAR = {2011}, NUMBER = {3}, PAGES = {411--420} } @article {22JKLO, AUTHOR = {Jung, Woo-Seok and Kim, Young-Hun and Lee, So-Yeon and Oh, Young-Tak}, TITLE = {Weak {B}ruhat interval modules of the 0-{H}ecke algebra}, JOURNAL = {Math. Z.}, VOLUME = {301}, YEAR = {2022}, NUMBER = {4}, PAGES = {3755--3786}, DOI = {10.1007/s00209-022-03025-4} } @misc{23CKO, AUTHOR = {Choi, Seung-Il and Kim, Young-Hun and Oh, Young-Tak}, EPRINT = {2308.10456}, EPRINTTYPE = {arxiv}, TITLE = {{P}oset modules of the $0$-{H}ecke algebras and related quasisymmetric power sum expansions}, YEAR = {2023} } @article {21LW, AUTHOR = {Liu, Ricky Ini and Weselcouch, Michael}, TITLE = {{$P$}-partitions and quasisymmetric power sums}, JOURNAL = {Int. Math. Res. Not. IMRN}, YEAR = {2021}, NUMBER = {18}, PAGES = {13975--14015} } @book {06Taskin, AUTHOR = {Taskin, Muge}, TITLE = {Properties of four partial orders on standard {Y}oung tableaux}, NOTE = {Thesis (Ph.D.)--University of Minnesota}, PUBLISHER = {ProQuest LLC, Ann Arbor, MI}, YEAR = {2006}, PAGES = {87} } @article {06McNamara, AUTHOR = {McNamara, Peter}, TITLE = {Cylindric skew {S}chur functions}, JOURNAL = {Adv. Math.}, VOLUME = {205}, YEAR = {2006}, NUMBER = {1}, PAGES = {275--312}, DOI = {10.1016/j.aim.2005.07.011} } @book {99Lam, AUTHOR = {Lam, T. Y.}, TITLE = {Lectures on modules and rings}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {189}, PUBLISHER = {Springer-Verlag, New York}, YEAR = {1999} } @book {91Benson, AUTHOR = {Benson, D. J.}, TITLE = {Representations and cohomology. {I}}, SERIES = {Cambridge Studies in Advanced Mathematics}, VOLUME = {30}, NOTE = {Basic representation theory of finite groups and associative algebras}, PUBLISHER = {Cambridge University Press, Cambridge}, YEAR = {1991}, DOI = {https://doi.org/10.1017/CBO9780511623615} } @incollection {77Sch, AUTHOR = {Sch\"{u}tzenberger, M.-P.}, TITLE = {La correspondance de {R}obinson}, BOOKTITLE = {Combinatoire et repr\'{e}sentation du groupe sym\'{e}trique ({A}ctes {T}able {R}onde {CNRS}, {U}niv. {L}ouis-{P}asteur {S}trasbourg, {S}trasbourg, 1976)}, SERIES = {Lecture Notes in Math}, VOLUME = {Vol. 579}, PAGES = {pp 59--113}, PUBLISHER = {Springer, Berlin}, YEAR = {1977} } @incollection {16Gessel, AUTHOR = {Gessel, Ira M.}, TITLE = {A historical survey of {$P$}-partitions}, BOOKTITLE = {The mathematical legacy of {R}ichard {P}. {S}tanley}, PAGES = {169--188}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {2016} } @incollection {84Gessel, AUTHOR = {Gessel, Ira M.}, TITLE = {Multipartite {$P$}-partitions and inner products of skew {S}chur functions}, BOOKTITLE = {Combinatorics and algebra ({B}oulder, {C}olo., 1983)}, SERIES = {Contemp. Math.}, VOLUME = {34}, PAGES = {289--317}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {1984} }