% This is an example bibliography file for FPSAC submissions.

@article {AS,
    AUTHOR = {Ahlbach, Connor and Swanson, Joshua P.},
     TITLE = {Cyclic sieving, necklaces, and branching rules related to
              {T}hrall's problem},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {25},
      YEAR = {2018},
    NUMBER = {4},
     PAGES = {Paper No. 4.42, 38},
       DOI = {10.37236/8198},
}

@misc{ArS,
      AUTHOR = {Armon, Sam and Swanson, Joshua P.},
      EPRINT = {2411.04302},
  EPRINTTYPE = {arxiv},
       TITLE = {Super major index and {T}hrall's problem},
        YEAR = {2024}}

@incollection {BBG,
    AUTHOR = {Bergeron, F. and Bergeron, N. and Garsia, A. M.},
     TITLE = {Idempotents for the free {L}ie algebra and {$q$}-enumeration},
 BOOKTITLE = {Invariant theory and tableaux ({M}inneapolis, {MN}, 1988)},
    SERIES = {IMA Vol. Math. Appl.},
    VOLUME = {19},
     PAGES = {166--190},
 PUBLISHER = {Springer, New York},
      YEAR = {1990},
MRREVIEWER = {Ira\ Gessel},
}

@article {BReg,
    AUTHOR = {Berele, A. and Regev, A.},
     TITLE = {Hook {Y}oung diagrams with applications to combinatorics and
              to representations of {L}ie superalgebras},
   JOURNAL = {Adv. in Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {64},
      YEAR = {1987},
    NUMBER = {2},
     PAGES = {118--175},
       DOI = {10.1016/0001-8708(87)90007-7},
}

@article {BRem,
    AUTHOR = {Berele, A. and Remmel, J. B.},
     TITLE = {Hook flag characters and their combinatorics},
   JOURNAL = {J. Pure Appl. Algebra},
  FJOURNAL = {Journal of Pure and Applied Algebra},
    VOLUME = {35},
      YEAR = {1985},
    NUMBER = {3},
     PAGES = {225--245},
       DOI = {10.1016/0022-4049(85)90042-8},
}

@article {BS,
    AUTHOR = {Billey, Sara C. and Swanson, Joshua P.},
     TITLE = {The metric space of limit laws for {$q$}-hook formulas},
   JOURNAL = {Comb. Theory},
  FJOURNAL = {Combinatorial Theory},
    VOLUME = {2},
      YEAR = {2022},
    NUMBER = {2},
     PAGES = {Paper No. 5, 58},
     DOI = {10.5070/C62257868}
}

@article {Brandt,
    AUTHOR = {Brandt, Angeline},
     TITLE = {The free {L}ie ring and {L}ie representations of the full
              linear group},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {56},
      YEAR = {1944},
     PAGES = {528--536},
       DOI = {10.2307/1990324},
}

@book {Ful,
    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},
      ISBN = {0-521-56144-2; 0-521-56724-6},
}

@incollection {Gar,
    AUTHOR = {Garsia, Adriano M.},
     TITLE = {Combinatorics of the free {L}ie algebra and the symmetric
              group},
 BOOKTITLE = {Analysis, et cetera},
     PAGES = {309--382},
 PUBLISHER = {Academic Press, Boston, MA},
      YEAR = {1990},
}

@incollection {Ges,
    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},
       DOI = {10.1090/conm/034/777705},
}

@article {GR,
    AUTHOR = {Gessel, Ira M. and Reutenauer, Christophe},
     TITLE = {Counting permutations with given cycle structure and descent
              set},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {64},
      YEAR = {1993},
    NUMBER = {2},
     PAGES = {189--215},
       DOI = {10.1016/0097-3165(93)90095-P},
}

@article {HHLRU,
    AUTHOR = {Haglund, J. and Haiman, M. and Loehr, N. and Remmel, J. B. and
              Ulyanov, A.},
     TITLE = {A combinatorial formula for the character of the diagonal
              coinvariants},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {126},
      YEAR = {2005},
    NUMBER = {2},
     PAGES = {195--232},
       DOI = {10.1215/S0012-7094-04-12621-1},
}

@article {Kac,
    AUTHOR = {Kac, V. G.},
     TITLE = {Lie superalgebras},
   JOURNAL = {Advances in Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {26},
      YEAR = {1977},
    NUMBER = {1},
     PAGES = {8--96},
       DOI = {10.1016/0001-8708(77)90017-2},
}

@article {Kly,
    AUTHOR = {Klyachko, Aleksandr Anatol{\'e}vich},
     TITLE = {Lie elements in a tensor algebra},
   JOURNAL = {Sibirsk. Mat. \v Z.},
  FJOURNAL = {Akademija Nauk SSSR. Sibirskoe Otdelenie. Sibirski\u i{}
              Matemati\v ceski\u i{} \v Zurnal},
    VOLUME = {15},
      YEAR = {1974},
     PAGES = {1296--1304, 1430},
}

@article {KW,
    AUTHOR = {Kra\'skiewicz, Witold and Weyman, Jerzy},
     TITLE = {Algebra of coinvariants and the action of a {C}oxeter element},
   JOURNAL = {Bayreuth. Math. Schr.},
  FJOURNAL = {Bayreuther Mathematische Schriften},
    NUMBER = {63},
      YEAR = {2001},
     PAGES = {265--284},
}

@article {Kratt,
    AUTHOR = {Krattenthaler, C.},
     TITLE = {A bijective proof of the hook-content formula for super
              {S}chur functions and a modified jeu de taquin},
      NOTE = {The Foata Festschrift},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {3},
      YEAR = {1996},
    NUMBER = {2},
     PAGES = {Research Paper 14, approx. 24},
       DOI = {10.37236/1272},
}

@book {Mac,
    AUTHOR = {Macdonald, I. G.},
     TITLE = {Symmetric functions and {H}all polynomials},
    SERIES = {Oxford Mathematical Monographs},
   EDITION = {Second},
      NOTE = {With contributions by A. Zelevinsky,
              Oxford Science Publications},
 PUBLISHER = {The Clarendon Press, Oxford University Press, New York},
      YEAR = {1995},
     PAGES = {x+475},
}

@incollection {Pet,
    AUTHOR = {Petrogradsky, V. M.},
     TITLE = {On {W}itt's formula and invariants for free {L}ie
              superalgebras},
 BOOKTITLE = {Formal power series and algebraic combinatorics ({M}oscow,
              2000)},
     PAGES = {543--551},
 PUBLISHER = {Springer, Berlin},
      YEAR = {2000},
}

@book {Reu,
    AUTHOR = {Reutenauer, Christophe},
     TITLE = {Free {L}ie algebras},
    SERIES = {London Mathematical Society Monographs. New Series},
    VOLUME = {7},
      NOTE = {Oxford Science Publications},
 PUBLISHER = {The Clarendon Press, Oxford University Press, New York},
      YEAR = {1993},
     PAGES = {xviii+269},
}

@misc{Rei,
  Author = {Reiner, Victor},
  Howpublished = {Banff workshop on positivity in algebraic
combinatorics lecture slides},
  Year = {2015},
  Title = {Thrall's problem and coarsenings},
  URL = {https://www-users.cse.umn.edu/~reiner/Talks/ThrallsProblem.pdf},
}

@article {Sch,
    AUTHOR = {Schocker, Manfred},
     TITLE = {Multiplicities of higher {L}ie characters},
   JOURNAL = {J. Aust. Math. Soc.},
  FJOURNAL = {Journal of the Australian Mathematical Society},
    VOLUME = {75},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {9--21},
       DOI = {10.1017/S144678870000344X},
}

@article {Shtern,
    AUTHOR = {Shtern, A. S.},
     TITLE = {Free {L}ie superalgebras},
   JOURNAL = {Sibirsk. Mat. Zh.},
  FJOURNAL = {Akademiya Nauk SSSR. Sibirskoe Otdelenie. Sibirski\u i{}
              Matematicheski\u i{} Zhurnal},
    VOLUME = {27},
      YEAR = {1986},
    NUMBER = {1},
     PAGES = {170--174, 200},
}

@article {Sun,
    AUTHOR = {Sundaram, Sheila},
     TITLE = {The homology representations of the symmetric group on
              {C}ohen-{M}acaulay subposets of the partition lattice},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {104},
      YEAR = {1994},
    NUMBER = {2},
     PAGES = {225--296},
       DOI = {10.1006/aima.1994.1030},
}

@book {Stan,
    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 Sergey
              Fomin},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1999},
     PAGES = {xii+581},
      ISBN = {0-521-56069-1; 0-521-78987-7},
       DOI = {10.1017/CBO9780511609589},
}

@article{Swa,
    AUTHOR = {Swanson, Joshua P.},
     TITLE = {On the existence of tableaux with given modular major index},
   JOURNAL = {Algebr. Comb.},
  FJOURNAL = {Algebraic Combinatorics},
    VOLUME = {1},
      YEAR = {2018},
    NUMBER = {1},
     PAGES = {3--21},
       DOI = {10.5802/alco},
}

@article {Thrall,
    AUTHOR = {Thrall, R. M.},
     TITLE = {On symmetrized {K}ronecker powers and the structure of the
              free {L}ie ring},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {64},
      YEAR = {1942},
     PAGES = {371--388},
       DOI = {10.2307/2371691},
}

@article {Witt,
    AUTHOR = {Witt, Ernst},
     TITLE = {Treue {D}arstellung {L}iescher {R}inge},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
              Journal]},
    VOLUME = {177},
      YEAR = {1937},
     PAGES = {152--160},
       DOI = {10.1515/crll.1937.177.152},
}

@incollection {Reu-idemp,
    AUTHOR = {Reutenauer, Christophe},
     TITLE = {Theorem of {P}oincar\'{e}-{B}irkhoff-{W}itt, logarithm and
              symmetric group representations of degrees equal to {S}tirling
              numbers},
 BOOKTITLE = {Combinatoire \'{e}num\'{e}rative ({M}ontreal, {Q}ue., 1985/{Q}uebec,
              {Q}ue., 1985)},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {1234},
     PAGES = {267--284},
 PUBLISHER = {Springer, Berlin},
      YEAR = {1986},
       DOI = {10.1007/BFb0072520},
}

@article {BKS,
    AUTHOR = {Billey, Sara C. and Konvalinka, Matja\v{z} and Swanson, Joshua P.},
     TITLE = {Tableau posets and the fake degrees of coinvariant algebras},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {371},
      YEAR = {2020},
     PAGES = {107252, 46},
       DOI = {10.1016/j.aim.2020.107252},
}

@book {Scheunert,
    AUTHOR = {Scheunert, Manfred},
     TITLE = {The theory of {L}ie superalgebras},
    SERIES = {Lecture Notes in Mathematics},
    VOLUME = {716},
      NOTE = {An introduction},
 PUBLISHER = {Springer, Berlin},
      YEAR = {1979},
     PAGES = {x+271},
   MRCLASS = {17A70},
  MRNUMBER = {537441},
MRREVIEWER = {Ernest\ Stitzinger},
}