Separable functors for the category of Doi-Hopf \(\pi\)-modules.
type: Item
instance of: scholarly article
title: Separable functors for the category of Doi-Hopf \(\pi\)-modules.
zbMATH Open document ID: 1260.16029
author: Quan-guo Chen
author: Shuanhong Wang
published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
publication date: 2012-12-04T00:00:00Z
review text: 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.
reviewed by: Sorin Dascalescu
Mathematics Subject Classification ID: 16T15
Mathematics Subject Classification ID: 18D10
zbMATH DE Number: 6112407
zbMATH Keywords: Hopf \(\pi\)-coalgebras
zbMATH Keywords: Doi-Hopf \(\pi\)-modules
zbMATH Keywords: Maschke type theorems
zbMATH Keywords: integrals
zbMATH Keywords: Doi-Hopf data
zbMATH Keywords: separable functors
MaRDI profile type: Publication
full work available at URL: s12188-011-0058-z
OpenAlex ID: W1978216104
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DOI: 10.1007/S12188-011-0058-Z
description: scientific article; zbMATH DE number 6112407