Bounds on certain classes of Kronecker and \(q\)-binomial coefficients

DOI10.1016/j.jcta.2016.10.004zbMath1352.05011arXiv1410.7087OpenAlexW2548036857MaRDI QIDQ501679

Greta Panova, Igor Pak

Publication date: 9 January 2017

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.7087

zbMATH Keywords

irreducible charactersalternating group\(q\)-binomial coefficientsKronecker coefficients of the symmetric grouppartitions asymptotics

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Symmetric groups (20B30)

Related Items (20)

Semi-invariants of binary forms and symmetrized graph-monomials ⋮ Some asymptotic results on \(q\)-binomial coefficients ⋮ Critical classes, Kronecker products of spin characters, and the Saxl conjecture ⋮ The classification of multiplicity-free plethysms of Schur functions ⋮ Multiplicity-free Kronecker products of characters of the symmetric groups ⋮ Bounds on Kronecker coefficients via contingency tables ⋮ A Unified Approach to Unimodality of Gaussian Polynomials ⋮ Splitting Kronecker squares, 2-decomposition numbers, Catalan combinatorics, and the Saxl conjecture ⋮ On the largest Kronecker and Littlewood-Richardson coefficients ⋮ Durfee squares, symmetric partitions and bounds on Kronecker coefficients ⋮ DIAGRAM ALGEBRAS, DOMINANCE TRIANGULARITY AND SKEW CELL MODULES ⋮ On the asymptotics of Kronecker coefficients. ⋮ Counting Partitions inside a Rectangle ⋮ The co-Pieri rule for stable Kronecker coefficients ⋮ Proof of Stembridge's conjecture on stability of Kronecker coefficients ⋮ Counting partitions inside a rectangle ⋮ Asymptotics of the number of geodesics in the discrete Heisenberg group ⋮ On Various Multiplicity-Free Products of Schur Functions ⋮ Kronecker positivity and 2-modular representation theory ⋮ Semi-invariants of binary forms pertaining to a unimodality theorem of Reiner and Stanton

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