Induction functors and stable Clifford theory for Hopf modules (Q1919570)
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scientific article; zbMATH DE number 908497
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Induction functors and stable Clifford theory for Hopf modules |
scientific article; zbMATH DE number 908497 |
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Induction functors and stable Clifford theory for Hopf modules (English)
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3 December 1996
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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.
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categories of Hopf modules
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subalgebras of coinvariants
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induction functors
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simple Hopf modules
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stable Clifford theory
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