Dynamical quantum groups at roots of 1

dc.creatorEtingof, Pavel
dc.creatorNikshych, Dmitri
dc.date2000-03-30
dc.date.accessioned2026-07-07T04:34:33Z
dc.date.available2026-07-07T04:34:33Z
dc.descriptionGiven a dynamical twist for a finite dimensional Hopf algebra we construct two weak Hopf algebras, using methods of Xu and Etingof-Varchenko, and show that they are dual to each other. We generalize the theory of dynamical quantum groups to the case when the quantum parameter q is a root of unity. These objects turn out to be self-dual -- which is a fundamentally new property, not satisfied by the usual Drinfeld-Jimbo quantum groups.
dc.descriptionams-latex, 25 pages
dc.identifierhttps://arxiv.org/abs/math/0003221
dc.identifierhttp://arxiv.org/abs/math/0003221
dc.identifierDuke Math J. 108 (2001), 135-168.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58946
dc.subjectQuantum Algebra
dc.titleDynamical quantum groups at roots of 1
dc.typetext

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