Group action on bimodule categories
Yuriy A. Drozd
TL;DR
This paper investigates how groups act on bimodule categories, establishing results similar to those for skew group algebra representations, especially under separable actions, advancing understanding in algebraic structures.
Contribution
It introduces analogues of known representation results for group actions on bimodule categories, focusing on separable cases, which is a novel extension in the field.
Findings
Established analogues of skew group algebra results for bimodule categories
Proved results specifically for separable group actions
Enhanced understanding of algebraic structures under group actions
Abstract
We study group action on bimodules and bimodule categories and prove for them analogues of the results known for representations of skew group algebras, mainly in the case, when the action is separable.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology