The Brauer group of modified supergroup algebras

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dc.creatorCarnovale, Giovanna
dc.date2005-07-06
dc.date.accessioned2026-07-07T05:21:27Z
dc.date.available2026-07-07T05:21:27Z
dc.descriptionThe computation of the Brauer group BM of modified supergroup algebras is perfomed, yielding, in particular, the computation of the Brauer group of all finite-dimensional triangular Hopf algebras when the base field is algebraically closed and of characteristic zero. The results are compared with the computation of lazy cohomology and with Yinhuo Zhang's exact sequence. As an example, we compute explicitely the Brauer group and lazy cohomology for modified supergroup algebras with (extensions of) Weyl groups of irreducible root systems as a group datum and their standard representation as a representation datum.
dc.description47 pages, submitted
dc.identifierhttps://arxiv.org/abs/math/0507125
dc.identifierhttp://arxiv.org/abs/math/0507125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75696
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject16W30; 16S40 (Primary); 20C25; 20F55 (Secondary)
dc.titleThe Brauer group of modified supergroup algebras
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