Full Centre of an H-Module Algebra

We apply the full centre construction, defined in [ 4 ], to algebras in and module categories over categories of representations of Hopf algebras. We obtain a compact formula for the full centre of a module algebra over a Hopf algebra.

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Bibliographic Details
Published in:Communications in algebra 2012-01, Vol.40 (1), p.273-290
Main Author: Davydov, Alexei
Format: Article
Language:English
Subjects:
Full centre
Hopf algebra
Monoidal category
Primary 18D10
Yetter-Drinfeld module
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Description
Summary:We apply the full centre construction, defined in [ 4 ], to algebras in and module categories over categories of representations of Hopf algebras. We obtain a compact formula for the full centre of a module algebra over a Hopf algebra.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2010.529859