% This is an example bibliography file for FPSAC submissions.
%1
@article{briand2009reduced,
    AUTHOR = {Briand, Emmanuel and Orellana, Rosa and Rosas, Mercedes},
     TITLE = {Reduced {K}ronecker coefficients and counter-examples to
              {M}ulmuley's strong saturation conjecture {SH}},
      NOTE = {With an appendix by Ketan Mulmuley},
   JOURNAL = {Comput. Complexity},
  FJOURNAL = {Computational Complexity},
    VOLUME = {18},
      YEAR = {2009},
    NUMBER = {4},
     PAGES = {577--600}, 
       DOI = {10.1007/s00037-009-0279-z},
       URL = {https://doi.org/10.1007/s00037-009-0279-z},
}
%2
@incollection{burgisser2008complexity,
    AUTHOR = {B\"urgisser, Peter and Ikenmeyer, Christian},
     TITLE = {The complexity of computing {K}ronecker coefficients},
 BOOKTITLE = {20th {A}nnual {I}nternational {C}onference on {F}ormal {P}ower
              {S}eries and {A}lgebraic {C}ombinatorics ({FPSAC} 2008)},
    SERIES = {Discrete Math. Theor. Comput. Sci. Proc.},
    VOLUME = {AJ},
     PAGES = {357--368},
      YEAR = {2008},
}
%3
@article{chindris2007counterexamples,
    AUTHOR = {Chindris, Calin and Derksen, Harm and Weyman, Jerzy},
     TITLE = {Counterexamples to {O}kounkov's log-concavity conjecture},
   JOURNAL = {Compos. Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {143},
      YEAR = {2007},
    NUMBER = {6},
     PAGES = {1545--1557}, 
       DOI = {10.1112/S0010437X07003090},
       URL = {https://doi.org/10.1112/S0010437X07003090},
}
%4
@article{fomin2005eigenvalues,
    AUTHOR = {Fomin, Sergey and Fulton, William and Li, Chi-Kwong and Poon,
              Yiu-Tung},
     TITLE = {Eigenvalues, singular values, and {L}ittlewood-{R}ichardson
              coefficients},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {127},
      YEAR = {2005},
    NUMBER = {1},
     PAGES = {101--127}, 
       URL =
              {http://muse.jhu.edu/journals/american_journal_of_mathematics/v127/127.1fomin.pdf},
}
%5
@Article{zbMATH07081660,
    AUTHOR = {Gao, Alice L. L. and Xie, Matthew H. Y. and Yang, Arthur L.
              B.},
     TITLE = {Schur positivity and log-concavity related to longest
              increasing subsequences},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {342},
      YEAR = {2019},
    NUMBER = {9},
     PAGES = {2570--2578}, 
       DOI = {10.1016/j.disc.2019.05.027},
       URL = {https://doi.org/10.1016/j.disc.2019.05.027},
}
%6
@misc{gui2022on,
      AUTHOR = {Gui, T.},
      EPRINT = {2205.05408},
  EPRINTTYPE = {arxiv},
       TITLE = {On the equivariant log-concavity for the cohomology of the flag varieties},
        YEAR = {2022}}
%7
@article{huh2022logarithmic,
Author = {Huh, June and Matherne, Jacob P. and M{\'e}sz{\'a}ros, Karola and St. Dizier, Avery},
 Title = {Logarithmic concavity of Schur and related polynomials},
 FJournal = {Transactions of the American Mathematical Society},
 Journal = {Trans. Am. Math. Soc.},
 Volume = {375},
 Number = {6},
 Pages = {4411--4427},
 Year = {2022},
 Language = {English},
 DOI = {10.1090/tran/8606}}
%8
@article{ikenmeyer2017vanishing,
    AUTHOR = {Ikenmeyer, Christian and Mulmuley, Ketan D. and Walter,
              Michael},
     TITLE = {On vanishing of {K}ronecker coefficients},
   JOURNAL = {Comput. Complexity},
  FJOURNAL = {Computational Complexity},
    VOLUME = {26},
      YEAR = {2017},
    NUMBER = {4},
     PAGES = {949--992}, 
       DOI = {10.1007/s00037-017-0158-y},
       URL = {https://doi.org/10.1007/s00037-017-0158-y},
}
%9
@article{Ikenmeyer2023all,
    AUTHOR = {Ikenmeyer, Christian and Panova, Greta},
     TITLE = {All {K}ronecker coefficients are reduced {K}ronecker
              coefficients},
   JOURNAL = {Forum Math. Pi},
  FJOURNAL = {Forum of Mathematics. Pi},
    VOLUME = {12},
      YEAR = {2024},
     PAGES = {Paper No. e22, 17 pp.}, 
       DOI = {10.1017/fmp.2024.23},
       URL = {https://doi.org/10.1017/fmp.2024.23},
}
%10
@article{kirillov2004invitation,
    AUTHOR = {Kirillov, Anatol N.},
     TITLE = {An invitation to the generalized saturation conjecture},
   JOURNAL = {Publ. Res. Inst. Math. Sci.},
  FJOURNAL = {Kyoto University. Research Institute for Mathematical
              Sciences. Publications},
    VOLUME = {40},
      YEAR = {2004},
    NUMBER = {4},
     PAGES = {1147--1239}, 
       URL = {http://projecteuclid.org/euclid.prims/1145475445},
}
%11
@misc{klyachko2004quantum,
      AUTHOR = {Klyachko, A.},
      EPRINT = {quant-ph/0409113},
  EPRINTTYPE = {arxiv},
       TITLE = {Quantum marginal problem and representations of the symmetric group},
        YEAR = {2004}}
%12
@article{knutson1999honeycomb,
    AUTHOR = {Knutson, Allen and Tao, Terence},
     TITLE = {The honeycomb model of {${\rm GL}_n({\bf C})$} tensor
              products. {I}. {P}roof of the saturation conjecture},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {12},
      YEAR = {1999},
    NUMBER = {4},
     PAGES = {1055--1090}, 
       DOI = {10.1090/S0894-0347-99-00299-4},
       URL = {https://doi.org/10.1090/S0894-0347-99-00299-4},
}
$13
@article{lam2007schur,
    AUTHOR = {Lam, Thomas and Postnikov, Alexander and Pylyavskyy, Pavlo},
     TITLE = {Schur positivity and {S}chur log-concavity},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {129},
      YEAR = {2007},
    NUMBER = {6},
     PAGES = {1611--1622}, 
       DOI = {10.1353/ajm.2007.0045},
       URL = {https://doi.org/10.1353/ajm.2007.0045},
}
%14
@article{lascoux1997ribbon,
    AUTHOR = {Lascoux, Alain and Leclerc, Bernard and Thibon, Jean-Yves},
     TITLE = {Ribbon tableaux, {H}all-{L}ittlewood functions, quantum affine
              algebras, and unipotent varieties},
   JOURNAL = {J. Math. Phys.},
  FJOURNAL = {Journal of Mathematical Physics},
    VOLUME = {38},
      YEAR = {1997},
    NUMBER = {2},
     PAGES = {1041--1068}, 
       DOI = {10.1063/1.531807},
       URL = {https://doi.org/10.1063/1.531807},
}
%15
@article{littlewood1958products,
    AUTHOR = {Littlewood, D. E.},
     TITLE = {Products and plethysms of characters with orthogonal,
              symplectic and symmetric groups},
   JOURNAL = {Canadian J. Math.},
  FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
              Math\'ematiques},
    VOLUME = {10},
      YEAR = {1958},
     PAGES = {17--32}, 
       DOI = {10.4153/CJM-1958-002-7},
       URL = {https://doi.org/10.4153/CJM-1958-002-7},
}
%16
@article{matherneequivariant,
    AUTHOR = {Matherne, Jacob P. and Miyata, Dane and Proudfoot, Nicholas
              and Ramos, Eric},
     TITLE = {Equivariant log concavity and representation stability},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2023},
    NUMBER = {5},
     PAGES = {3885--3906}, 
       DOI = {10.1093/imrn/rnab352},
       URL = {https://doi.org/10.1093/imrn/rnab352},
}
%17
@article{murnaghan1938analysis,
    AUTHOR = {Murnaghan, F. D.},
     TITLE = {The {A}nalysis of the {K}ronecker {P}roduct of {I}rreducible
              {R}epresentations of the {S}ymmetric {G}roup},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {60},
      YEAR = {1938},
    NUMBER = {3},
     PAGES = {761--784}, 
       DOI = {10.2307/2371610},
       URL = {https://doi.org/10.2307/2371610},
}
%18
@article{narayanan2006complexity,
    AUTHOR = {Narayanan, Hariharan},
     TITLE = {On the complexity of computing {K}ostka numbers and
              {L}ittlewood-{R}ichardson coefficients},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {24},
      YEAR = {2006},
    NUMBER = {3},
     PAGES = {347--354}, 
       DOI = {10.1007/s10801-006-0008-5},
       URL = {https://doi.org/10.1007/s10801-006-0008-5},
}
%19
@incollection{okounkov2003would,
    AUTHOR = {Okounkov, Andrei},
     TITLE = {Why would multiplicities be log-concave?},
 BOOKTITLE = {The orbit method in geometry and physics ({M}arseille, 2000)},
    SERIES = {Progr. Math.},
    VOLUME = {213},
     PAGES = {329--347},
 PUBLISHER = {Birkh\"auser Boston, Boston, MA},
      YEAR = {2003}, 
}
%20
@article{pak2020breaking,
    AUTHOR = {Pak, Igor and Panova, Greta},
     TITLE = {Breaking down the reduced {K}ronecker coefficients},
   JOURNAL = {C. R. Math. Acad. Sci. Paris},
  FJOURNAL = {Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris},
    VOLUME = {358},
      YEAR = {2020},
    NUMBER = {4},
     PAGES = {463--468}, 
       DOI = {10.5802/crmath.60},
       URL = {https://doi.org/10.5802/crmath.60},
}
%21
@article{proudfoot2016intersection,
    AUTHOR = {Proudfoot, Nicholas and Wakefield, Max and Young, Ben},
     TITLE = {Intersection cohomology of the symmetric reciprocal plane},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {43},
      YEAR = {2016},
    NUMBER = {1},
     PAGES = {129--138}, 
       DOI = {10.1007/s10801-015-0628-8},
       URL = {https://doi.org/10.1007/s10801-015-0628-8},
}
%22
@article{rosas2001kronecker,
    AUTHOR = {Rosas, Mercedes H.},
     TITLE = {The {K}ronecker product of {S}chur functions indexed by
              two-row shapes or hook shapes},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {14},
      YEAR = {2001},
    NUMBER = {2},
     PAGES = {153--173},
       DOI = {10.1023/A:1011942029902},
       URL = {https://doi.org/10.1023/A:1011942029902},
}
%23
@article{sam2015stability,
    AUTHOR = {Sam, Steven V. and Snowden, Andrew},
     TITLE = {Stability patterns in representation theory},
   JOURNAL = {Forum Math. Sigma},
  FJOURNAL = {Forum of Mathematics. Sigma},
    VOLUME = {3},
      YEAR = {2015},
     PAGES = {Paper No. e11, 108 pp.}, 
       DOI = {10.1017/fms.2015.10},
       URL = {https://doi.org/10.1017/fms.2015.10},
}
%24
@Book{zbMATH01268810,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Enumerative combinatorics. {V}ol. 2},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {62},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1999},
     PAGES = {xii+581}, 
       DOI = {10.1017/CBO9780511609589},
       URL = {https://doi.org/10.1017/CBO9780511609589},
}