Strictification of weakly equivariant Hopf algebras

Maier, Jennifer and Nikolaus, Thomas and Schweigert, Christoph (2013) Strictification of weakly equivariant Hopf algebras. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 20 (2). pp. 269-285. ISSN 1370-1444,

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Abstract

A weakly equivariant Hopf algebra is a Hopf algebra A with an action of a finite group G up to inner automorphisms of A. We show that each weakly equivariant Hopf algebra can be replaced by a Morita equivalent algebra A(str) with a strict action of G and with a coalgebra structure that leads to a tensor equivalent representation category. However, the coproduct of this strictification cannot, in general, be chosen to be unital, so that a strictification of the G-action can only be found on a weak Hopf algebra Astr

Item Type: Article
Uncontrolled Keywords: QUANTUM GROUPOIDS; weak Hopf algebra; equivariant Hopf algebra; strictification
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 17 Apr 2020 07:25
Last Modified: 17 Apr 2020 07:25
URI: https://pred.uni-regensburg.de/id/eprint/16857

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