Taiwanese Journal of Mathematics

On the Drinfeld Center of the Category of Comodules over a Co-quasitriangular Hopf Algebra

Haixing Zhu

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Abstract

Let $H$ be a co-quasitriangular Hopf algebra with bijective antipode. We prove that the Drinfeld center of the category of $H$-comodules is equivalent to the category of modules over some braided group. In particular, the equivalence holds not only for a finite dimensional $H$, but also for an infinite dimensional one.

Article information

Source
Taiwanese J. Math., Volume 20, Number 2 (2016), 263-275.

Dates
First available in Project Euclid: 1 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1498874440

Digital Object Identifier
doi:10.11650/tjm.20.2016.5965

Mathematical Reviews number (MathSciNet)
MR3481384

Zentralblatt MATH identifier
1357.16053

Subjects
Primary: 16T05: Hopf algebras and their applications [See also 16S40, 57T05] 16K50: Brauer groups [See also 12G05, 14F22]

Keywords
co-quasitriangular Hopf algebras braided groups braided tensor categories drinfeld centers Yetter-Drinfeld modules

Citation

Zhu, Haixing. On the Drinfeld Center of the Category of Comodules over a Co-quasitriangular Hopf Algebra. Taiwanese J. Math. 20 (2016), no. 2, 263--275. doi:10.11650/tjm.20.2016.5965. https://projecteuclid.org/euclid.twjm/1498874440


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