Braid group representations from twisted quantum doubles of finite groups Academic Article uri icon

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.

author list (cited authors)

  • Etingof, P., Rowell, E., & Witherspoon, S.

citation count

  • 22

complete list of authors

  • Etingof, Pavel||Rowell, Eric||Witherspoon, Sarah

publication date

  • January 2008