The Saxl conjecture for fourth powers via the semigroup property

DOI10.1007/s10801-016-0700-zzbMath1355.05269arXiv1511.02387OpenAlexW2952491054WikidataQ123262923 ScholiaQ123262923MaRDI QIDQ510059

Sammy Luo, Mark Sellke

Publication date: 16 February 2017

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

Full work available at URL: https://arxiv.org/abs/1511.02387

zbMATH Keywords

symmetric groupsemigroup propertycontinuous Young diagramKronecker coefficientSaxl conjecture

Mathematics Subject Classification ID

Related Items (8)

A tensor-cube version of the Saxl conjecture ⋮ On the largest Kronecker and Littlewood-Richardson coefficients ⋮ Covering \(\mathsf{Irrep}(S_n)\) with tensor products and powers ⋮ Durfee squares, symmetric partitions and bounds on Kronecker coefficients ⋮ Bounds on the largest Kronecker and induced multiplicities of finite groups ⋮ Saxl conjecture for triple hooks ⋮ Kronecker positivity and 2-modular representation theory ⋮ Tensor quasi-random groups

Cites Work

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• On the Durfee size of Kronecker products of characters of the symmetric group and its double covers.
• Uniform Bounds for Bessel Functions
• The Structure of Random Partitions of Large Integers
• On the distribution of the length of the longest increasing subsequence of random permutations
• Stein’s method and Plancherel measure of the symmetric group
• Asymptotics of Plancherel measures for symmetric groups

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