A Maschke type theorem for weak group entwined modules and applications

Let π be a discrete group. Given a weak π -entwining structure and α ∈ π , we give the necessary and sufficient conditions for the forgetful functor from the category of right -modules to the category of right -modules to be separable. This leads to a generalized notion of integrals. The results are...

Full description

Saved in:
Bibliographic Details
Published in:Israel journal of mathematics 2014-10, Vol.204 (1), p.329-358
Main Authors: Wang, Dingguo, Chen, Quanguo
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Group Theory and Generalizations
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Let π be a discrete group. Given a weak π -entwining structure and α ∈ π , we give the necessary and sufficient conditions for the forgetful functor from the category of right -modules to the category of right -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.
ISSN:0021-2172
1565-8511
DOI:10.1007/s11856-014-1113-0