Twisted Frobenius-Schur indicators for Hopf algebras.

DOI10.1016/j.jalgebra.2011.12.026zbMath1280.16027arXiv1107.0742OpenAlexW2070883695MaRDI QIDQ448402

Maria D. Vega, Daniel S. Sage

Publication date: 6 September 2012

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

Full work available at URL: https://arxiv.org/abs/1107.0742

zbMATH Keywords

semisimple Hopf algebrascharactersautomorphismsFrobenius-Schur indicators

Mathematics Subject Classification ID

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

Related Items (4)

Finite dimensional Hopf algebras over Kac-Paljutkin algebra $H_8$ ⋮ Automorphisms of the doubles of purely non-abelian finite groups ⋮ Twisted exponents and twisted Frobenius–Schur indicators for Hopf algebras ⋮ Hopf automorphisms and twisted extensions

Cites Work

• Unnamed Item
• Unnamed Item
• Congruence subgroups and generalized Frobenius-Schur indicators
• Frobenius-Schur indicators and exponents of spherical categories.
• Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple
• A twisted version of the Frobenius-Schur indicator and multiplicity-free permutation representations
• Models of representations of compact Lie groups
• On semisimple Hopf algebras of dimension \(2^m\).
• Self-dual modules of semisimple Hopf algebras.
• Generalized Frobenius-Schur numbers.
• Semisimple Hopf algebras of dimension \(6\), \(8\)
• The Frobenius-Schur indicator in conformal field theory
• Multiplicity free representations of finite groups
• Characters of Hopf algebras
• Central invariants and higher indicators for semisimple quasi-Hopf algebras
• On higher Frobenius-Schur indicators
• Subrepresentation semirings and an analog of 6j-symbols
• A Frobenius-Schur theorem for Hopf algebras
• Frobenius-Schur indicators, the Klein-bottle amplitude, and the principle of orbifold covariance

This page was built for publication: Twisted Frobenius-Schur indicators for Hopf algebras.