Yetter-Drinfeld modules over weak Hopf algebras and the center construction

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dc.creatorCaenepeel, S.
dc.creatorWang, Dingguo
dc.creatorYin, Yanmin
dc.date2004-09-30
dc.date2005-04-01
dc.date.accessioned2026-07-07T05:12:44Z
dc.date.available2026-07-07T05:12:44Z
dc.descriptionWe introduce Yetter-Drinfeld modules over a weak Hopf algebra $H$, and show that the category of Yetter-Drinfeld modules is isomorphic to the center of the category of $H$-modules. The categories of left-left, left-right, right-left and right-right Yetter-Drinfeld modules are isomorphic as braided monoidal categories. Yetter-Drinfeld modules can be viewed as weak Doi-Hopf modules, and, a fortiori, as weak entwined modules. If $H$ is finitely generated and projective, then we introduce the Drinfeld double using duality results between entwining structures and smash product structures, and show that the category of Yetter-Drinfeld modules is isomorphic to the category of modules over the Drinfeld double.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0409599
dc.identifierhttp://arxiv.org/abs/math/0409599
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72691
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16W30
dc.titleYetter-Drinfeld modules over weak Hopf algebras and the center construction
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