Separable functors for the category of Doi-Hopf modules, applications (Q1304621)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Separable functors for the category of Doi-Hopf modules, applications |
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Separable functors for the category of Doi-Hopf modules, applications (English)
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30 August 2000
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The authors give necessary and sufficient conditions for the functor that forgets the comodule structure from a category of Doi-Hopf modules to be a separable functor. This is used to obtain Maschke type theorems. The results are applied to Yetter-Drinfeld modules, Long dimodules and modules graded by \(G\)-sets.
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bialgebra
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Doi-Hopf module
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separable functor
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integral
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Yetter-Drinfeld module
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graded module
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Maschke type theorems
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Long dimodules
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