Frobenius-Schur indicators for some fusion categories associated to symmetric and alternating groups

DOI10.1007/s10468-016-9593-8zbMath1343.18011arXiv1503.01072OpenAlexW2963705632MaRDI QIDQ295902

Peter Schauenburg

Publication date: 14 June 2016

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.01072

zbMATH Keywords

Frobenius-Schur indicatorHopf algebrafusion category

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Hopf algebras and their applications (16T05)

Related Items (2)

Gauge invariants from the powers of antipodes ⋮ An indicator formula for the Hopf algebra \(k^{S_{n-1}}\# kC_n\)

Cites Work

• Representations of some Hopf algebras associated to the symmetric group \(S_n\).
• Computing higher Frobenius-Schur indicators in fusion categories constructed from inclusions of finite groups
• Realizability of representations of finite groups
• A twisted version of the Frobenius-Schur indicator and multiplicity-free permutation representations
• Hopf bimodules, coquasibialgebras, and an exact sequence of Kac
• Computing the Frobenius-Schur indicator for Abelian extensions of Hopf algebras
• Finite groups in which every element is conjugate to its inverse
• Indicators of bismash products from exact symmetric group factorizations

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