Multiplicity-free Kronecker products of characters of the symmetric groups

DOI10.1016/j.aim.2017.10.009zbMath1403.20017arXiv1609.03596OpenAlexW2963769353WikidataQ123345324 ScholiaQ123345324MaRDI QIDQ1678148

Christine Bessenrodt, Christopher Bowman

Publication date: 14 November 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03596

zbMATH Keywords

symmetric grouptensor productirreducible characterKronecker coefficientsskew character

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30)

Related Items (6)

The classification of multiplicity-free plethysms of Schur functions ⋮ Splitting Kronecker squares, 2-decomposition numbers, Catalan combinatorics, and the Saxl conjecture ⋮ In memoriam: Christine Bessenrodt (1958--2022) ⋮ Coxeter combinatorics and spherical Schubert geometry ⋮ On Various Multiplicity-Free Products of Schur Functions ⋮ Kronecker positivity and 2-modular representation theory

Uses Software

• GAP

Cites Work

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• On (almost) extreme components in Kronecker products of characters of the symmetric groups.
• A diagrammatic approach to Kronecker squares
• Bounds on certain classes of Kronecker and \(q\)-binomial coefficients
• Kronecker coefficients for one hook shape
• Partition algebras.
• Expressions for Catalan Kronecker products
• On rectangular Kronecker coefficients.
• On multiplicity-free skew characters and the Schubert calculus
• Reduced Kronecker products which are multiplicity free or contain only few components
• Nonzero Kronecker coefficients and what they tell us about spectra
• 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
• The character covering numbers of the alternating groups
• On the Kronecker product of Schur functions of two row shapes
• On Kronecker products of complex representations of the symmetric and alternating groups
• Multiplicity-free products of Schur functions
• The Kronecker product of Schur functions indexed by two-row shapes or hook shapes
• Combinatorial operators for Kronecker powers of representations of \(\mathfrak S_n\).
• A combinatorial interpretation for the coefficients in the Kronecker product \(s_{(n-p,p)} \ast s_\lambda\)
• KRONECKER COEFFICIENTS VIA SYMMETRIC FUNCTIONS AND CONSTANT TERM IDENTITIES
• A note on certain Kronecker coefficients
• Multiplicity-Free Schubert Calculus

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