✦ LIBER ✦
Separable Functors for the Category of Doi–Hopf Modules, Applications
✍ Scribed by S. Caenepeel; G. Militaru; Bogdan Ion; Shenglin Zhu
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 296 KB
- Volume
- 145
- Category
- Article
- ISSN
- 0001-8708
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✦ Synopsis
We prove a Maschke type theorem for the category of Doi Hopf modules. In fact, we give necessary and sufficient conditions for the functor that forgets the C-coaction to be separable. This leads to a generalized notion of integrals. Our results can be applied to obtain Maschke type theorems for Yetter Drinfel'd modules, Long dimodules, and modules graded by G-sets. Existing Maschke type theorems due to Doi and the authors are recovered as special cases.