On (almost) extreme components in Kronecker products of characters of the symmetric groups.

DOI10.1016/j.jalgebra.2014.01.035zbMath1307.20009arXiv1105.3170OpenAlexW1979387538MaRDI QIDQ403129

Christine Bessenrodt, Stephanie Van Willigenburg

Publication date: 29 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3170

zbMATH Keywords

symmetric groupsLittlewood-Richardson coefficientsKronecker coefficientsextreme constituentstensor products of irreducible characters

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

Related Items (3)

Multiplicity-free Kronecker products of characters of the symmetric groups ⋮ In memoriam: Christine Bessenrodt (1958--2022) ⋮ Maximal lexicographic spectra and ranks for states with fixed uniform margins

Cites Work

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• Expressions for Catalan Kronecker products
• Shuffles of permutations and the Kronecker product
• The complex characters of the symmetric groups that remain irreducible in subgroups
• Formulas for the expansion of the Kronecker products \(S_{(m,n)} \otimes{}S_{(1^{p-r},r)}\) and \(S_{(1^ k2^ l)} \otimes{}S_{(1^{p-r},r)}\)
• On the Kronecker product of \(S_n\) characters
• On the Kronecker product of Schur functions of two row shapes
• On Kronecker products of complex representations of the symmetric and alternating groups
• The Kronecker product of Schur functions indexed by two-row shapes or hook shapes
• A formula for the Kronecker products of Schur functions of hook shapes
• Equality of Schur and skew Schur functions
• The Kronecker Product of Symmetric Group Representations

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