Some isomorphisms for the Brauer groups of a Hopf algebra

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dc.creatorCarnovale, Giovanna
dc.date2000-05-17
dc.date2000-05-18
dc.date.accessioned2026-07-07T04:35:21Z
dc.date.available2026-07-07T04:35:21Z
dc.descriptionUsing equivalences of categories we provide isomorphisms between the Brauer groups of different Hopf algebras. As an example, we show that when k is a field of characteristic different from 2 the Brauer groups BC(k,H_4,r_t) for every dual quasitriangular structure r_t on Sweedler's Hopf algebra H_4 are all isomorphic to the direct sum of (k,+) and the Brauer-Wall group of k. We provide an isomorphism between the Brauer group of a Hopf algebra H and the Brauer group of the dual Hopf algebra H^* generalizing a result of Tilborghs. Finally we relate the Brauer groups of H and of its opposite and co-opposite Hopf algebras.
dc.description23 pages, minor changes, one reference added
dc.identifierhttps://arxiv.org/abs/math/0005177
dc.identifierhttp://arxiv.org/abs/math/0005177
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59223
dc.subjectRepresentation Theory
dc.subjectCommutative Algebra
dc.subject16W30 (Primary), 13A20 18D10 16H05 (Secondary)
dc.titleSome isomorphisms for the Brauer groups of a Hopf algebra
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