The quantum double for quasitriangular quasi-Hopf algebras

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dc.creatorBulacu, D.
dc.creatorCaenepeeel, S.
dc.date2001-10-19
dc.date.accessioned2026-07-07T04:43:58Z
dc.date.available2026-07-07T04:43:58Z
dc.descriptionLet $D(H)$ be the quantum double associated to a finite dimensional quasi-Hopf algebra $H$. In this note, we first generalize a result of Majid, stating that a finite dimensional Hopf algebra $H$ is quasitriangular if and only if there is a projection of the quantum double $D(H)$ onto $H$ covering the natural inclusion.We then prove that the quantum double of a finite dimensional quasitriangular quasi-Hopf algebra is a biproduct.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0110216
dc.identifierhttp://arxiv.org/abs/math/0110216
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62448
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16W30
dc.titleThe quantum double for quasitriangular quasi-Hopf algebras
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