More properties of Yetter-Drinfeld modules over quasi-Hopf algebras

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dc.creatorBulacu, D.
dc.creatorCaenepeel, S.
dc.creatorPanaite, F.
dc.date2003-11-21
dc.date.accessioned2026-07-07T05:03:09Z
dc.date.available2026-07-07T05:03:09Z
dc.descriptionWe generalize various properties of Yetter-Drinfeld modules over Hopf algebras to quasi-Hopf algebras. The dual of a finite dimensional Yetter-Drinfeld module is again a Yetter-Drinfeld module. The algebra $H_0$ in the category of Yetter-Drinfeld modules that can be obtained by modifying the multiplication in a proper way is quantum commutative. We give a Structure Theorem for Hopf modules in the category of Yetter-Drinfeld modules, and deduce the existence and uniqueness of integrals from it.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0311381
dc.identifierhttp://arxiv.org/abs/math/0311381
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69296
dc.subjectQuantum Algebra
dc.subject16W30
dc.titleMore properties of Yetter-Drinfeld modules over quasi-Hopf algebras
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