An invitation to the generalized saturation conjecture

DOI10.2977/prims/1145475445zbMath1077.05098arXivmath/0404353OpenAlexW2034022712WikidataQ122898235 ScholiaQ122898235MaRDI QIDQ558617

Anatol N. Kirillov

Publication date: 1 July 2005

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404353

zbMATH Keywords

Littlewood-Richardson numbersparabolic Kostant partition functionsparabolic Kostka polynomials

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

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Positivity among \(P\)-partition generating functions, The spectra of quantum states and the Kronecker coefficients of the symmetric group, Logarithmic concavity of Schur and related polynomials, Strict unimodality of \(q\)-binomial coefficients, Nonzero Kronecker coefficients and what they tell us about spectra, Combinatorics on a family of reduced Kronecker coefficients, Multiplicity-free skew Schur functions with full interval support, On the asymptotics of Kronecker coefficients., Maximal supports and Schur-positivity among connected skew shapes, Necessary conditions for Schur-maximality, On the complexity of computing Kronecker coefficients, Reduced Kronecker products which are multiplicity free or contain only few components, The stability of the Kronecker product of Schur functions, Unnamed Item, Schur-positivity in a square, Necessary conditions for Schur-positivity, Positivity results on ribbon Schur function differences, Breaking down the reduced Kronecker coefficients, Rigged configurations and unimodality, Vector partition functions and Kronecker coefficients

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