An indicator formula for the Hopf algebra \(k^{S_{n-1}}\# kC_n\)

DOI10.1007/s10468-023-10230-0arXiv2208.12714OpenAlexW4386482193MaRDI QIDQ6151728

Kayla Orlinsky

Publication date: 11 March 2024

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

Full work available at URL: https://arxiv.org/abs/2208.12714

zbMATH Keywords

Hopf algebrassymmetric grouprepresentations of Hopf algebrasFrobenius Schur indicatorbismash product

Mathematics Subject Classification ID

Subgroups of symmetric groups (20B35) Representation theory of associative rings and algebras (16G99) Connections of Hopf algebras with combinatorics (16T30)

Cites Work

• Unnamed Item
• Frobenius-Schur indicators for some fusion categories associated to symmetric and alternating groups
• Central invariants and Frobenius-Schur indicators for semisimple quasi-Hopf algebras.
• Representations of some Hopf algebras associated to the symmetric group \(S_n\).
• Computing the Frobenius-Schur indicator for Abelian extensions of Hopf algebras
• Self-dual modules of semisimple Hopf algebras.
• Frobenius-Schur indicators for a class of fusion categories.
• Matched pairs of groups and bismash products of hopf algebras
• Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n
• S 4 symmetry of 6j symbols and Frobenius–Schur indicators in rigid monoidal C* categories
• Indicators of bismash products from exact symmetric group factorizations
• On higher Frobenius-Schur indicators
• On Recursions Connected With Symmetric Groups I
• Classification of semisimple Hopf algebras of dimension 16
• A Frobenius-Schur theorem for Hopf algebras

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