Yetter-Drinfeld categories for quasi-Hopf algebras

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dc.creatorBulacu, D.
dc.creatorCaenepeel, S.
dc.creatorPanaite, F.
dc.date2003-11-21
dc.date2004-06-30
dc.date.accessioned2026-07-07T05:03:09Z
dc.date.available2026-07-07T05:03:09Z
dc.descriptionWe show that all possible categories of Yetter-Drinfeld modules over a quasi-Hopf algebra $H$ are isomorphic. We prove also that the category $\yd^{\rm fd}$ of finite dimensional left Yetter-Drinfeld modules is rigid and then we compute explicitly the canonical isomorphisms in $\yd^{\rm fd}$. Finally, we show that certain duals of $H_0$, the braided Hopf algebra introduced in \cite{bn,bpv}, are isomorphic as braided Hopf algebras if $H$ is a finite dimensional triangular quasi-Hopf algebra.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/math/0311379
dc.identifierhttp://arxiv.org/abs/math/0311379
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69295
dc.subjectQuantum Algebra
dc.subject16W30
dc.titleYetter-Drinfeld categories for quasi-Hopf algebras
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