Self-dual modules of semisimple Hopf algebras.
From MaRDI portal
Publication:1858245
DOI10.1016/S0021-8693(02)00034-0zbMath1048.16024arXivmath/0106254MaRDI QIDQ1858245
Yorck Sommerhäuser, Kashina, Yevgenia, Yong-Chang Zhu
Publication date: 12 February 2003
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0106254
Related Items
(𝔰𝔩2)-Invariant Forms on Their Modules ⋮ HIGHER INDICATORS FOR SOME GROUPS AND THEIR DOUBLES ⋮ Representations of degree three for semisimple Hopf algebras. ⋮ On Kaplansky's sixth conjecture ⋮ Quantum binary polyhedral groups and their actions on quantum planes ⋮ Frobenius-Schur indicators and exponents of spherical categories. ⋮ An indicator formula for the Hopf algebra \(k^{S_{n-1}}\# kC_n\) ⋮ Twisted Frobenius-Schur indicators for Hopf algebras. ⋮ Hopf algebras and congruence subgroups ⋮ Higher Indicators for the Doubles of Some Totally Orthogonal Groups ⋮ On the trace of the antipode and higher indicators. ⋮ Some interrelations between Hopf algebras and their duals. ⋮ Classification of Semisimple Hopf Algebras ⋮ Hopf Algebras ⋮ A Trace-Like Invariant for Representations of Hopf Algebras ⋮ Representations of some Hopf algebras associated to the symmetric group \(S_n\). ⋮ Existence of Tannakian Subcategories and its Applications ⋮ Frobenius-Schur indicators for subgroups and the Drinfel’d double of Weyl groups ⋮ Indicators of bismash products from exact symmetric group factorizations ⋮ Computing the Frobenius-Schur indicator for Abelian extensions of Hopf algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple
- On the exponent of finite-dimensional Hopf algebras
- Computing the Frobenius-Schur indicator for Abelian extensions of Hopf algebras
- Mapping class group actions on quantum doubles
- The Grothendieck group of a Hopf algebra
- The Frobenius-Schur indicator in conformal field theory
- Integrals for Hopf algebras
- On the deformation of rings and algebras
- Semisimple Cosemisimple Hopf Algebras
- S 4 symmetry of 6j symbols and Frobenius–Schur indicators in rigid monoidal C* categories
- A Frobenius-Schur theorem for Hopf algebras