Braid group representations from twisted quantum doubles of finite groups
Quantum Algebra
2008-04-16 v1 Representation Theory
Abstract
We investigate the braid group representations arising from categories of representations of twisted quantum doubles of finite groups. For these categories, we show that the resulting braid group representations always factor through finite groups, in contrast to the categories associated with quantum groups at roots of unity. We also show that in the case of p-groups, the corresponding pure braid group representations factor through a finite p-group, which answers a question asked of the first author by V. Drinfeld.
Cite
@article{arxiv.math/0703274,
title = {Braid group representations from twisted quantum doubles of finite groups},
author = {Pavel Etingof and Eric C. Rowell and Sarah Witherspoon},
journal= {arXiv preprint arXiv:math/0703274},
year = {2008}
}