Hopf subalgebras and tensor powers of generalized permutation modules.

DOI10.1016/j.jpaa.2013.06.008zbMath1301.16034arXiv1210.3178OpenAlexW2963522146MaRDI QIDQ392426

Lars Kadison

Publication date: 14 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.3178

zbMATH Keywords

group algebrasHopf algebrasprojective modulessemisimple modulesfinite representation typecounit representationsdepths of algebra extensionsdepths of modulesgeneralized permutation modulesmodule coalgebrastensor products of simple modulestruncated tensor algebras

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Group rings (16S34) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Bimodules in associative algebras (16D20) Frobenius induction, Burnside and representation rings (19A22) Hopf algebras and their applications (16T05)

Related Items (7)

A quantum subgroup depth ⋮ Uniquely separable extensions ⋮ Kernels of representations of Drinfeld doubles of finite groups. ⋮ On the flatness and the projectivity over Hopf subalgebras of Hopf algebras over Dedekind rings ⋮ Algebraic quotient modules and subgroup depth ⋮ Subgroup Depth and Twisted Coefficients ⋮ An in-depth look at quotient modules

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