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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)

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)
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Christopher Bowman
Date Deposited: 16 Oct 2017 10:00 UTC
Last Modified: 13 Jan 2020 10:03 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/64027 (The current URI for this page, for reference purposes)
Bowman, Christopher: https://orcid.org/0000-0001-6046-8930
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