Burnside's Theorem for Hopf Algebras

DOI10.2307/2160884zbMath0832.16034OpenAlexW4239829623MaRDI QIDQ4318410

Declan Quinn, Donald S.Passman

Publication date: 23 January 1995

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2160884

zbMATH Keywords

Hopf algebrastensor productsannihilatorsHopf idealssemigroup algebrasenveloping algebrastensor modulesBurnside's theorem

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Group rings (16S34) Semigroup rings, multiplicative semigroups of rings (20M25) Representation of semigroups; actions of semigroups on sets (20M30) Universal enveloping algebras of Lie algebras (16S30)

Related Items (16)

Semisimple reflection Hopf algebras of dimension sixteen ⋮ Representations of finite-dimensional Hopf algebras ⋮ On an analogue of a Brauer theorem for fusion categories ⋮ Hopf subalgebras and tensor powers of generalized permutation modules. ⋮ Normal Hopf subalgebras of semisimple Drinfeld doubles. ⋮ Critical groups for Hopf algebra modules ⋮ Restricted Burnside problem for semigroups and its application to language theory ⋮ Kernels of representations of Drinfeld doubles of finite groups. ⋮ Categorical Hopf kernels and representations of semisimple Hopf algebras. ⋮ Three infinite families of reflection Hopf algebras ⋮ Representations of Lie colour algebras ⋮ Algebraic quotient modules and subgroup depth ⋮ On some representations of the Drinfel'd double. ⋮ Rigidity of down-up algebras with respect to finite group coactions ⋮ Polyhedral groups, McKay quivers, and the finite algebraic groups with tame principal blocks. ⋮ Normal Hopf subalgebras of semisimple Hopf algebras

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