% This is an example bibliography file for FPSAC submissions.

@article{AssafSpeyer,
  title={Specht modules decompose as alternating sums of restrictions of {S}chur modules},
  author={Assaf, Sami and Speyer, David},
  journal={Proc. Amer. Math. Soc.},
  volume={148},
  number={3},
  pages={1015--1029},
  year={2020},
  DOI = {10.1090/proc/14815},
}

@article{OZSnChars,
title = {Symmetric group characters as symmetric functions},
journal = {Adv. Math.},
volume = {390},
pages = {107943},
year = {2021},
doi = {https://doi.org/10.1016/j.aim.2021.107943},
author={Orellana, Rosa and Zabrocki, Mike}
}

@article{OZProds,
  title={Products of symmetric group characters},
  author={Orellana, Rosa and Zabrocki, Mike},
  journal={J. Combin. Theory Ser. A},
  volume={165},
  pages={299--324},
  year={2019},
  publisher={Elsevier},
  DOI = {10.1016/j.jcta.2019.02.019},
}

@article {OZHopf,
    AUTHOR = {Orellana, Rosa and Zabrocki, Mike},
     TITLE = {The {H}opf structure of symmetric group characters as
              symmetric functions},
   JOURNAL = {Algebr. Comb.},
  FJOURNAL = {Algebraic Combinatorics},
    VOLUME = {4},
      YEAR = {2021},
    NUMBER = {3},
     PAGES = {551--574},
   MRCLASS = {05E05 (16T30 20C15)},
       DOI = {10.5802/alco.170},
}

@article{BdVO15,
  title={The partition algebra and the {K}ronecker coefficients},
  author={Bowman, Christopher and De Visscher, Maud and Orellana, Rosa},
  journal={Trans. Amer. Math. Soc.},
  volume={367},
  number={5},
  pages={3647--3667},
  year={2015},
  DOI = {10.1090/S0002-9947-2014-06245-4},
}

@article{BOR1,
  title={The stability of the {K}ronecker product of {S}chur functions},
  author={Briand, Emmanuel and Orellana, Rosa and Rosas, Mercedes},
  journal={J. Algebra},
  volume={331},
  number={1},
  pages={11--27},
  year={2011},
  publisher={Elsevier}
}

@article{Mur38,
  title={The analysis of the {K}ronecker product of irreducible representations of the symmetric group},
  author={Murnaghan, Francis D.},
  journal={Amer. J. Math.},
  volume={60},
  number={3},
  pages={761--784},
  year={1938},
  publisher={JSTOR}
}

@book{Stanley,
  title={Enumerative Combinatorics: Volume 1},
  author={Stanley, R.P.},
  edition = {Second},
  series={Cambridge Studies in Advanced Mathematics},
  year={2012},
  publisher={Cambridge University Press}
}

@article{sage,
  title={Sage: System for algebra and geometry experimentation},
  author={Stein, William and Joyner, David},
  journal={ACM SIGSAM Bull.},
  volume={39},
  number={2},
  pages={61--64},
  year={2005},
  publisher={ACM New York, NY, USA}
}

@article{IP24,
  title={All Kronecker coefficients are reduced Kronecker coefficients},
  author={Ikenmeyer, Christian and Panova, Greta},
  journal={Forum Math. Pi},
  volume={12},
  pages={e22, 1--17},
  year={2024},
  organization={Cambridge University Press},
  DOI = {10.1017/fmp.2024.23},
}

@article{Ziegler,
  title = {On the poset of partitions of an integer},
  journal = {J. Combin. Theory Ser. A},
  volume = {42},
  number = {2},
  pages = {215-222},
  year = {1986},
  doi = {https://doi.org/10.1016/0097-3165(86)90092-0},
  author = {G. Ziegler}
}

@misc{MLee,
      title={The Frobenius transform of a symmetric function}, 
      author={Mitchell Lee},
      year={2024},
      eprint={2307.06678},
      archivePrefix={arXiv},
      primaryClass={math.CO},
      url={https://arxiv.org/abs/2307.06678}, 
}

@article{KR06,
  title={Lyndon words and transition matrices between elementary, homogeneous and monomial symmetric functions},
  author={Kulikauskas, Andrius and Remmel, Jeffrey},
  journal={Electron. J. Combin.},
  pages={R18--R18},
  year={2006}
}

@article{BabsonHersh,
  title={Discrete {M}orse functions from lexicographic orders},
  author={Babson, Eric and Hersh, Patricia},
  journal={Trans. Amer. Math. Soc.},
  volume={357},
  number={2},
  pages={509--534},
  year={2005},
  DOI = {10.1090/S0002-9947-04-03495-6},
}

@article{ER1,
  title={The monomial symmetric functions and the {F}robenius map},
  author={Eǧecioǧlu, {\H{O}}mer and Remmel, Jeffrey},
  journal={J. Combin. Theory Ser. A},
  volume={54},
  number={2},
  pages={272--295},
  year={1990},
  publisher={Elsevier}
}

@book {Mac,
    AUTHOR = {Macdonald, I. G.},
     TITLE = {Symmetric functions and {H}all polynomials},
    SERIES = {Oxford Classic Texts in the Physical Sciences},
   EDITION = {Second},
      NOTE = {With contribution by A. V. Zelevinsky and a foreword by
              Richard Stanley},
 PUBLISHER = {The Clarendon Press, Oxford University Press, New York},
      YEAR = {2015},
     PAGES = {xii+475},
   MRCLASS = {05E05 (01A75 05-02 20C30 20C33 20K01 33C80 33D80)},
}

@article {MS24,
    AUTHOR = {Mazorchuk, Volodymyr and Srivastava, Shraddha},
     TITLE = {Multiparameter colored partition category and the product of
              the reduced {K}ronecker coefficients},
   JOURNAL = {J. Pure Appl. Algebra},
  FJOURNAL = {Journal of Pure and Applied Algebra},
    VOLUME = {228},
      YEAR = {2024},
    NUMBER = {3},
     PAGES = {Paper No. 107524, 60},
   MRCLASS = {05E05 (05A18 18M05 20M30)},
       DOI = {10.1016/j.jpaa.2023.107524},
}
@incollection {ER89,
    AUTHOR = {E\u{g}ecio\u{g}lu, \"Omer and Remmel, Jeffrey B.},
     TITLE = {Brick tabloids and the connection matrices between bases of
              symmetric functions},
      NOTE = {Combinatorics and theoretical computer science (Washington,
              DC, 1989)},
   JOURNAL = {Discrete Appl. Math.},
  FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
              Algorithms, Informatics and Computational Sciences},
    VOLUME = {34},
      YEAR = {1991},
    NUMBER = {1-3},
     PAGES = {107--120},
   MRCLASS = {05E05},
       DOI = {10.1016/0166-218X(91)90081-7},
}

@article {HSW21,
    AUTHOR = {Heaton, Alexander and Sriwongsa, Songpon and Willenbring, Jeb
              F.},
     TITLE = {Branching from the general linear group to the symmetric group
              and the principal embedding},
   JOURNAL = {Algebr. Comb.},
  FJOURNAL = {Algebraic Combinatorics},
    VOLUME = {4},
      YEAR = {2021},
    NUMBER = {2},
     PAGES = {189--200},
   MRCLASS = {17B10 (05E10 22E46)},
       DOI = {10.5802/alco.138},
}

@article {NPPS24,
    AUTHOR = {Narayanan, Sridhar and Paul, Digjoy and Prasad, Amritanshu and
              Srivastava, Shraddha},
     TITLE = {Some restriction coefficients for the trivial and sign
              representations},
   JOURNAL = {Algebr. Comb.},
  FJOURNAL = {Algebraic Combinatorics},
    VOLUME = {7},
      YEAR = {2024},
    NUMBER = {4},
     PAGES = {1183--1195},
   MRCLASS = {05E10 (05E05 20C30 20G05)},
       DOI = {10.5802/alco.360},
}

@article{ryba,
  title={Kronecker comultiplication of stable characters and restriction from $S_{mn}$ to $S_m \times S_n$},
  author={Ryba, Christopher},
  journal={J. Algebra},
  volume={638},
  pages={720--738},
  year={2024},
  publisher={Elsevier},
  DOI = {10.1016/j.jalgebra.2023.07.043},
}


@misc{MLee2,
      title={Restriction coefficients for partitions with at most three columns}, 
      author={Mitchell Lee},
      year={2025},
      eprint={2506.11837},
      archivePrefix={arXiv},
      primaryClass={math.CO},
      url={https://arxiv.org/abs/2506.11837}, 
}