SOME PROPERTIES OF THE REPRESENTATION CATEGORY OF TWISTED DRINFELD DOUBLES OF FINITE GROUPS

Year 2021, Volume: 29 Issue: 29, 223 - 238, 05.01.2021

Deepak Naıdu

https://doi.org/10.24330/ieja.852237

Cited By: 2

Abstract

A criterion for a simple object of the representation category
$\Rep(D^\omega(G))$ of the twisted Drinfeld double $D^\omega(G)$
to be a generator is given, where $G$ is a finite group and $\omega$ is
a 3-cocycle on $G$. A description of the adjoint category of
$\Rep(D^\omega(G))$ is also given.

Keywords

Drinfeld double, quantum double, $~$

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