Clifford correspondence for finite dimensional Hopf algebras

DOI10.1006/jabr.1999.7866zbMath0941.16026OpenAlexW2067758487MaRDI QIDQ1306905

Sarah Witherspoon

Publication date: 20 December 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7866

zbMATH Keywords

Hopf algebrascategories of modulesirreducible modulescrossed product algebrasClifford correspondences

Mathematics Subject Classification ID

Related Items (10)

Normal subgroups and relative centers of linearly reductive quantum groups ⋮ Clifford theory for infinite dimensional modules ⋮ On semisimple Hopf algebras of dimension \(2^{m}\). II ⋮ Higher deformations of Lie algebra representations I. ⋮ HIGHER DEFORMATIONS OF LIE ALGEBRA REPRESENTATIONS II ⋮ Clifford theory for cocentral extensions. ⋮ Double Hom-associative algebra and double Hom-Lie bialgebra ⋮ Products in Hochschild cohomology and Grothendieck rings of group crossed products. ⋮ Computing the Frobenius-Schur indicator for Abelian extensions of Hopf algebras ⋮ Clifford correspondence for algebras.

Cites Work

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• Normal subrings and induced representations
• Representation theory of Hopf Galois extensions
• Normal basis and transitivity of crossed products for Hopf algebras
• Irreducible representations of crossed products
• Stable Clifford theory
• Induction functors and stable Clifford theory for Hopf modules
• Representations induced in an invariant subgroup
• Clifford theory for group-graded rings.
• A Central Extension Theorem-for Hopf Algebras

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