Multiplicity-Free Kronecker Products of Characters of the Symmetric Groups

Bessenrodt, Christine, Bowman, Christopher (2017) Multiplicity-Free Kronecker Products of Characters of the Symmetric Groups. Advances in Mathematics, 322 . pp. 473-529. ISSN 0001-8708. E-ISSN 1090-2082. (doi:10.1016/j.aim.2017.10.009) (KAR id:64027)

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Official URL: https://doi.org/10.1016/j.aim.2017.10.009

Abstract

We provide a classification of multiplicity-free inner tensor products of irreducible characters of symmetric groups, thus confirming a conjecture of Bessenrodt. Concurrently, we classify all multiplicity-free inner tensor products of skew characters of the symmetric groups. We also provide formulae for calculating the decomposition of these tensor products.

Item Type:	Article
DOI/Identification number:	10.1016/j.aim.2017.10.009
Uncontrolled keywords:	Symmetric groups; Irreducible characters; Tensor products; Kronecker coefficients
Subjects:	Q Science > QA Mathematics (inc Computing science)
Institutional Unit:	Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences
Former Institutional Unit:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Christopher Bowman
Date Deposited:	16 Oct 2017 10:00 UTC
Last Modified:	20 May 2025 11:38 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/64027 (The current URI for this page, for reference purposes)

University of Kent Author Information

Bowman, Christopher.

Creator's ORCID:	https://orcid.org/0000-0001-6046-8930
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