Unimodality of differences of specialized Schur functions

DOI10.1023/A:1008623312887zbMath0935.05089OpenAlexW2035734811MaRDI QIDQ1383824

Victor Reiner, Dennis W. Stanton

Publication date: 4 May 2000

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008623312887

zbMATH Keywords

unimodal polynomialcentered differencePeckprincipal spezializationspecialized Schur functions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Related Items (12)

The \(q\)-log-concavity and unimodality of \(q\)-Kaplansky numbers ⋮ A Unified Approach to Unimodality of Gaussian Polynomials ⋮ Extremal properties of bases for representations of semisimple Lie algebras ⋮ Unimodality via Kronecker products ⋮ On Bergeron's positivity problem for \(q\)-binomial coefficients ⋮ Explicit constructions of the fundamental representations of the symplectic Lie algebras ⋮ Solitary and edge-minimal bases for representations of the simple Lie algebra \(G_2\) ⋮ Tensor factorization and spin construction for Kac-Moody algebras ⋮ Asymptotics of the number of geodesics in the discrete Heisenberg group ⋮ Symplectic analogs of the distributive lattices \(L(m,n)\) ⋮ Families of major index distributions: closed forms and unimodality ⋮ Semi-invariants of binary forms pertaining to a unimodality theorem of Reiner and Stanton

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