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5 - Crossed Products

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 introduce and study several kinds of crossed products corresponding to quasi-bialgebras and quasi-Hopf algebras (smash and quasi-smash products, diagonal crossed products, L–R-smash products). The chapter ends with a duality theorem for finite-dimensional quasi-Hopf algebras.

Keywords

smash and quasi-smash productdiagonal crossed productL-R-smash productduality theorem
Type
Chapter
Information
Quasi-Hopf Algebras
A Categorical Approach
 , pp. 177 - 224
Publisher: Cambridge University Press
Print publication year: 2019

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