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6 - Quasi-Hopf Bimodule Categories

Published online by Cambridge University Press:  21 February 2019

Daniel Bulacu ,
Stefaan Caenepeel ,
Florin Panaite  and
Freddy Van Oystaeyen
Daniel Bulacu
Affiliation:
Universitatea din Bucureşti, Romania
Stefaan Caenepeel
Affiliation:
Vrije Universiteit Brussel
Florin Panaite
Affiliation:
Institute of Mathematics of the Romanian Academy
Freddy Van Oystaeyen
Affiliation:
Universiteit Antwerpen, Belgium
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Summary

We present some structure theorems for quasi-Hopf bimodules. We also show that for a quasi-Hopf algebra H the category of quasi-Hopf H-bimodules is monoidally equivalent to the category of left H-representations. As an application, we prove a structure theorem for quasi-Hopf comodule algebras.

Keywords

quasi-Hopf bimodulecategory of representations
Type
Chapter
Information
Quasi-Hopf Algebras
A Categorical Approach
 , pp. 225 - 252
Publisher: Cambridge University Press
Print publication year: 2019

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