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3 - Quasi-bialgebras and Quasi-Hopf Algebras

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 the concepts of quasi-bialgebra and quasi-Hopf algebra by using a categorical point of view.We present the basic properties of these objects and study their invariance under a twist. We also introduce the dual notions, called dual quasi-bialgebra and dual quasi-Hopf algebra.

Keywords

quasi-bialgebraquasi-Hopf algebradual quasi-Hopf algebraDrinfeld twisting
Type
Chapter
Information
Quasi-Hopf Algebras
A Categorical Approach
 , pp. 103 - 146
Publisher: Cambridge University Press
Print publication year: 2019

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