On group theoretical Hopf algebras and exact factorization of finite groups

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dc.creatorNatale, Sonia
dc.date2002-08-07
dc.date.accessioned2026-07-07T04:50:06Z
dc.date.available2026-07-07T04:50:06Z
dc.descriptionWe show that a semisimple Hopf algebra A is group theoretical if and only if its Drinfeld double is a twisting of the Dijkgraaf-Pasquier-Roche quasi-Hopf algebra D^{omega}(Sigma), for some finite group Sigma and some 3-cocycle omega on Sigma. We show that semisimple Hopf algebras obtained as bicrossed products from an exact factorization of a finite group Sigma are group theoretical. We also describe their Drinfeld double as a twisting of D^{omega}(Sigma), for an appropriate 3-cocycle omega coming from the Kac exact sequence.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0208054
dc.identifierhttp://arxiv.org/abs/math/0208054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64674
dc.subjectQuantum Algebra
dc.subject16W30
dc.titleOn group theoretical Hopf algebras and exact factorization of finite groups
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