Indicators of bismash products from exact symmetric group factorizations

DOI10.1080/00927872.2016.1270291zbMath1393.16021arXiv1412.4725OpenAlexW2962891294MaRDI QIDQ4977699

Joseph Timmer

Publication date: 16 August 2017

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

Full work available at URL: https://arxiv.org/abs/1412.4725

zbMATH Keywords

Hopf algebrasrepresentationssymmetric group

Mathematics Subject Classification ID

Smash products of general Hopf actions (16S40) Hopf algebras and their applications (16T05)

Related Items

Frobenius-Schur indicators for some fusion categories associated to symmetric and alternating groups ⋮ An indicator formula for the Hopf algebra \(k^{S_{n-1}}\# kC_n\)

Uses Software

• GAP

Cites Work

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• Modular representations and indicators for bismash products.
• Representations of some Hopf algebras associated to the symmetric group \(S_n\).
• The factorisation of the alternating and symmetric groups
• A twisted version of the Frobenius-Schur indicator and multiplicity-free permutation representations
• Self-dual modules of semisimple Hopf algebras.
• Frobenius-Schur indicators for subgroups and the Drinfel’d double of Weyl groups
• Matched pairs of groups and bismash products of hopf algebras
• A Frobenius-Schur theorem for Hopf algebras