A Maschke type theorem for weak group entwined modules and applications
| Autor: | Quanguo Chen, Dingguo Wang |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Pure mathematics
Discrete group Group (mathematics) General Mathematics Mathematics::Rings and Algebras Structure (category theory) Type (model theory) Separable space Mathematics::Quantum Algebra Mathematics::Category Theory High Energy Physics::Experiment Algebra over a field Forgetful functor Mathematics |
| Zdroj: | Israel Journal of Mathematics. 204:329-358 |
| ISSN: | 1565-8511 0021-2172 |
| Popis: | Let π be a discrete group. Given a weak π-entwining structure \({(A,C)_{\pi - \psi }}\) and α ∈ π, we give the necessary and sufficient conditions for the forgetful functor \({F^{(\alpha )}}\) from the category \(U_A^{\pi - C}(\psi )\) of right \({(A,C)_{\pi - \psi }}\)-modules to the category \({M_{{A_\alpha }}}\) of right \({A_\alpha }\)-modules to be separable. This leads to a generalized notion of integrals. The results are applied to weak Doi-Hopf π-modules and to weak entwining modules. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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