Braid group representations from twisted quantum doubles of finite groups

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dc.creatorEtingof, Pavel
dc.creatorRowell, Eric C.
dc.creatorWitherspoon, Sarah
dc.date2007-03-09
dc.date.accessioned2026-07-07T09:32:46Z
dc.date.available2026-07-07T09:32:46Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0703274
dc.identifierhttp://arxiv.org/abs/math/0703274
dc.identifierPacific J. Math. 234 no. 1 (2008) 33-42
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158900
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject16W30; 20F36, 18D10
dc.titleBraid group representations from twisted quantum doubles of finite groups
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