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@article {ABR,
    AUTHOR = {Adin, R. M. and Brenti, F. and Roichman, Y.},
     TITLE = {Descent representations and multivariate statistics},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {357},
      YEAR = {2005},
    NUMBER = {8},
     PAGES = {3051--3082},
   MRCLASS = {20C30 (05E10 13A50 20F55)},
  MRNUMBER = {2135735},
MRREVIEWER = {Ira Gessel},
       URL = {https://doi.org/10.1090/S0002-9947-04-03494-4},
}

@book {Artin,
    AUTHOR = {Artin, E.},
     TITLE = {Galois {T}heory},
    SERIES = {Notre Dame Mathematical Lectures, no. 2},
   EDITION = {Second},
 PUBLISHER = {University of Notre Dame, Notre Dame, Ind.},
      YEAR = {1944},
     PAGES = {82 pp.},
   MRCLASS = {09.0X},
  MRNUMBER = {0009934},
MRREVIEWER = {S. MacLane},
}

@book {ASS,
    AUTHOR = {Assem, I. and Simson, D. and Skowro\'nski, A.},
     TITLE = {Elements of the representation theory of associative algebras.
              {V}ol. 1},
    SERIES = {London Mathematical Society Student Texts},
    VOLUME = {65},
      NOTE = {Techniques of Representation},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {2007},
     PAGES = {xii+472},
}

@article {BBSSZ,
    AUTHOR = {Berg, C. and Bergeron, N. and Saliola, F. and
              Serrano, L. and Zabrocki, M.},
     TITLE = {Indecomposable modules for the dual immaculate basis of
              quasi-symmetric functions},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {143},
      YEAR = {2015},
    NUMBER = {3},
     PAGES = {991--1000},
   MRCLASS = {05E05 (20C08)},
  MRNUMBER = {3293717},
MRREVIEWER = {Cathy E. Kriloff},
       DOI = {10.1090/S0002-9939-2014-12298-2},
}

@article {BjornerWachs,
    AUTHOR = {Bj\"orner, A. and Wachs, M. L.},
     TITLE = {Generalized quotients in {C}oxeter groups},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {308},
      YEAR = {1988},
    NUMBER = {1},
     PAGES = {1--37},
   MRCLASS = {05A99 (06F99 20B30 20F99)},
  MRNUMBER = {946427},
MRREVIEWER = {Joseph Kung},
       URL = {https://doi.org/10.2307/2000946},
}

@article{CM,
    Author = {Carlsson, E. and Mellit, A.},
     Title = {A proof of the shuffle conjecture},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {31},
      YEAR = {2018},
    NUMBER = {3},
     PAGES = {661--697},
       DOI = {10.1090/jams/893},
}

@article {C,
    AUTHOR = {Chevalley, C.},
     TITLE = {Invariants of finite groups generated by reflections},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {77},
      YEAR = {1955},
     PAGES = {778--782},
   MRCLASS = {20.0X},
  MRNUMBER = {0072877},
MRREVIEWER = {J. Dieudonn\'e},
       DOI = {10.2307/2372597},
}

@book {CLO,
    AUTHOR = {Cox, D. and Little, J. and O'Shea, D.},
     TITLE = {Ideals, varieties, and algorithms},
    SERIES = {Undergraduate Texts in Mathematics},
      NOTE = {An introduction to computational algebraic geometry and
              commutative algebra},
 PUBLISHER = {Springer-Verlag, New York},
      YEAR = {1992},
     PAGES = {xii+513},
   MRCLASS = {13P10 (13-01 14-01 14Qxx 68Q40)},
  MRNUMBER = {1189133},
MRREVIEWER = {Timothy Stokes},
       DOI = {10.1007/978-1-4757-2181-2},
}

@article {Garsia,
    AUTHOR = {Garsia, A.M.},
     TITLE = {Combinatorial methods in the theory of {C}ohen-{M}acaulay
              rings},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {38},
      YEAR = {1980},
    NUMBER = {3},
     PAGES = {229--266},
   MRCLASS = {06A10 (05A99 13H10 14M05)},
  MRNUMBER = {597728},
MRREVIEWER = {Richard Stanley},
       DOI = {10.1016/0001-8708(80)90006-7},
}

@misc{GHRY,
Author = {Garsia, A.M. and Haglund, J. and Remmel, J.B. and Yoo, M.},
Title = {A proof of the Delta Conjecture when $q=0$},
Year = {2017},
Eprint = {1710.07078},
Eprinttype = {arxiv}
}

@article {GP,
    AUTHOR = {Garsia, A.M. and Procesi, C.},
     TITLE = {On certain graded {$S_n$}-modules and the {$q$}-{K}ostka
              polynomials},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {94},
      YEAR = {1992},
    NUMBER = {1},
     PAGES = {82--138},
   MRCLASS = {20C30 (05E10 05E35)},
  MRNUMBER = {1168926},
MRREVIEWER = {Leonid Krop},
       URL = {https://doi.org/10.1016/0001-8708(92)90034-I},
}

@article {GS,
    AUTHOR = {Garsia, A.M. and Stanton, D.},
     TITLE = {Group actions of {S}tanley-{R}eisner rings and invariants of
              permutation groups},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {51},
      YEAR = {1984},
    NUMBER = {2},
     PAGES = {107--201},
   MRCLASS = {20B35 (06A10 13H10 15A72)},
  MRNUMBER = {736732},
MRREVIEWER = {Ira Gessel},
       DOI = {10.1016/0001-8708(84)90005-7},
}

@incollection {Gessel,
    AUTHOR = {Gessel, I.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},
   MRCLASS = {05A17 (20C30)},
  MRNUMBER = {777705},
MRREVIEWER = {J. D\'esarm\'enien},
       DOI = {10.1090/conm/034/777705},
}

@misc{GrinbergReiner,
Author = {Grinberg, D. and Reiner, V.},
Title = {Hopf Algebras in Combinatorics},
Year = {2016},
Eprint = {1409.8356v4},
Eprinttype = {arxiv}
}

@article {HRW,
    AUTHOR = {Haglund, J. and Remmel, J.B. and Wilson, A.T.},
     TITLE = {The Delta Conjecture},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
      YEAR = {2018},
    VOLUME = {370},
    NUMBER = {6},
     PAGES = {4029--4057},
       DOI = {10.1090/tran/7096}
}


@article{HRS,
    Author = {Haglund, J. and Rhoades, B. and Shimozono, M.},
     Title = {Ordered set partitions, generalized coinvariant algebras, 
              and the Delta conjecture},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {329},
      YEAR = {2018},
     PAGES = {851--915},
     URL = {https://doi.org/10.1016/j.aim.2018.01.028}
}

@article {Huang,
    AUTHOR = {Huang, J.},
     TITLE = {0-{H}ecke algebra actions on coinvariants and flags},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {40},
      YEAR = {2014},
    NUMBER = {1},
     PAGES = {245--278},
   MRCLASS = {20C08 (05E05 14M15)},
  MRNUMBER = {3226825},
MRREVIEWER = {Maria Chlouveraki},
       DOI = {10.1007/s10801-013-0486-1},
}

@article {HuangTab,
    AUTHOR = {Huang, J.},
     TITLE = {A tableau approach to the representation theory of 0-{H}ecke
              algebras},
   JOURNAL = {Ann. Comb.},
  FJOURNAL = {Annals of Combinatorics},
    VOLUME = {20},
      YEAR = {2016},
    NUMBER = {4},
     PAGES = {831--868},
   MRCLASS = {20C08 (05E05 05E10 16T30)},
  MRNUMBER = {3572389},
MRREVIEWER = {Michael Chmutov},
       DOi = {10.1007/s00026-016-0338-5},
}

@article {KT,
    AUTHOR = {Krob, D. and Thibon, J.-Y.},
     TITLE = {Noncommutative symmetric functions. {IV}. {Q}uantum linear
              groups and {H}ecke algebras at {$q=0$}},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {6},
      YEAR = {1997},
    NUMBER = {4},
     PAGES = {339--376},
   MRCLASS = {05E05 (17B37 20C30)},
  MRNUMBER = {1471894},
MRREVIEWER = {Jian-yi Shi},
       DOI = {10.1023/A:1008673127310},
}

@book {MacMahon,
    AUTHOR = {MacMahon, P. A.},
     TITLE = {Combinatory analysis},
    SERIES = {Two volumes (bound as one)},
 PUBLISHER = {Chelsea Publishing Co., New York},
      YEAR = {1960},
     PAGES = {xix+302+xix+340},
   MRCLASS = {05.00 (01.60)},
  MRNUMBER = {0141605},
MRREVIEWER = {T. H. Southard},
}

@article {Norton,
    AUTHOR = {Norton, P.N.},
     TITLE = {{$0$}-{H}ecke algebras},
   JOURNAL = {J. Austral. Math. Soc. Ser. A},
  FJOURNAL = {Australian Mathematical Society. Journal. Series A},
    VOLUME = {27},
      YEAR = {1979},
    NUMBER = {3},
     PAGES = {337--357},
   MRCLASS = {16A48 (17B10)},
  MRNUMBER = {532754},
MRREVIEWER = {S. B. Conlon},
       DOI = {10.1017/S1446788700012453}
}

@article {RW,
    AUTHOR = {Remmel, J.B. and Wilson, A.T.},
     TITLE = {An extension of {M}ac{M}ahon's equidistribution theorem to
              ordered set partitions},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {134},
      YEAR = {2015},
     PAGES = {242--277},
   MRCLASS = {05A18 (05A15)},
  MRNUMBER = {3345306},
MRREVIEWER = {Damir Yeliussizov},
URL = {https://doi.org/10.1016/j.jcta.2015.03.012}
}


@article {Rhoades,
    AUTHOR = {Rhoades, B.},
     TITLE = {Ordered set partition statistics and the Delta Conjecture},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {154},
      YEAR = {2018},
     PAGES = {172--217},
       DOI = {10.1016/j.jcta.2017.08.017}
}

@article {Stanley,
    AUTHOR = {Stanley, R.P.},
     TITLE = {Invariants of finite groups and their applications to
              combinatorics},
   JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
  FJOURNAL = {American Mathematical Society. Bulletin. New Series},
    VOLUME = {1},
      YEAR = {1979},
    NUMBER = {3},
     PAGES = {475--511},
   MRCLASS = {20C15 (05A15 13H10 14H10 15A72 51F15)},
  MRNUMBER = {526968},
MRREVIEWER = {Ralph Strebel},
       DOI = {10.1090/S0273-0979-1979-14597-X},
}

@article {TV,
    AUTHOR = {Tewari, V. V. and van Willigenburg, S. J.},
     TITLE = {Modules of the 0-{H}ecke algebra and quasisymmetric {S}chur
              functions},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {285},
      YEAR = {2015},
     PAGES = {1025--1065},
   MRCLASS = {05E05 (05A05 05A19 05E10 06A07 16T30 20C08 20F55)},
  MRNUMBER = {3406520},
       DOI = {10.1016/j.aim.2015.08.012},
}

@article {WMultiset,
    AUTHOR = {Wilson, A.T.},
     TITLE = {An extension of {M}ac{M}ahon's equidistribution theorem to
              ordered multiset partitions},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {23},
      YEAR = {2016},
    NUMBER = {1},
     PAGES = {Paper 1.5, 21 pages},
   MRCLASS = {05A19 (05A05 05A18 05E05)},
  MRNUMBER = {3484710},
MRREVIEWER = {Zhicong Lin},
       URL =
       {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i1p5}
}