On the structure of weak Hopf algebras

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dc.creatorNikshych, Dmitri
dc.date2001-06-01
dc.date.accessioned2026-07-07T04:41:57Z
dc.date.available2026-07-07T04:41:57Z
dc.descriptionWe study the group of group-like elements of a weak Hopf algebra and derive an analogue of Radford's formula for the fourth power of the antipode S, which implies that the antipode has a finite order modulo a trivial automorphism. We find a sufficient condition in terms of Tr(S^2) for a weak Hopf algebra to be semisimple, discuss relation between semisimplicity and cosemisimplicity, and apply our results to show that a dynamical twisting deformation of a semisimple Hopf algebra is cosemisimple.
dc.descriptionAms-latex, 21 page
dc.identifierhttps://arxiv.org/abs/math/0106010
dc.identifierhttp://arxiv.org/abs/math/0106010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61575
dc.subjectQuantum Algebra
dc.titleOn the structure of weak Hopf algebras
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