Braid group representations from twisted quantum doubles of finite groups

Details Braid group representations from twisted quantum doubles of finite groups Braid group representations from twisted quantum doubles of finite groups

2007-03-09

arxiv.org/abs/math/0703274v1

Pacific J. Math. 234 no. 1 (2008) 33-42

Mathematics

Quantum Algebra

Scientific paper

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.

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