Induction functors and stable Clifford theory for Hopf modules
type: Item
instance of: scholarly article
title: Induction functors and stable Clifford theory for Hopf modules
zbMATH Open document ID: 0855.16036
DOI: 10.1016/0022-4049(95)00073-9
author: Yinhuo Zhang
author: Fred Van Oystaeyen
published in: Journal of Pure and Applied Algebra
publication date: 1996-12-03T00:00:00Z
full work available at URL: https://hdl.handle.net/10067/165110151162165141
review text: Let \(H\) be a Hopf algebra with bijective antipode, \(A\) a right \(H\)-comodule algebra, and \(B\) the subalgebra of coinvariants. A revised induction functor is introduced in order to study the relation between the category of \(B\)-modules and the category of \((H,A)\)-Hopf modules. The relation between simple \(B\)-modules and simple Hopf modules is discussed and a version of Dade's stable Clifford theory is given.
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 16D90
Mathematics Subject Classification ID: 16D60
zbMATH DE Number: 908497
zbMATH Keywords: categories of Hopf modules
zbMATH Keywords: subalgebras of coinvariants
zbMATH Keywords: induction functors
zbMATH Keywords: simple Hopf modules
zbMATH Keywords: stable Clifford theory
reviewed by: Serban Raianu
MaRDI profile type: Publication
OpenAlex ID: W2059061018
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description: scientific article; zbMATH DE number 908497