Separable functors for the category of Doi-Hopf \(\pi\)-modules.
Let \(\pi\) be a group and let \((H,A,C)\) be a Doi-Hopf \(\pi\)-datum. If \(\alpha\in\pi\), let \(F^{(\alpha)}\) be the associated functor from the category of Doi-Hopf \(\pi\)-modules to the category of left \(A_\alpha\)-modules. It is proved that \(F^{(\alpha)}\) has a right adjoint and it is investigated when is \(F^{(\alpha)}\) a separable functor. A Maschke type theorem is proved as an application.
scientific article; zbMATH DE number 6112407
scientific article