Gram determinants and semisimplity criteria for Birman-Wenzl algebras

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dc.creatorRui, Hebing
dc.creatorSi, Mei
dc.date2006-07-11
dc.date2008-02-18
dc.date.accessioned2026-07-07T09:21:17Z
dc.date.available2026-07-07T09:21:17Z
dc.descriptionIn this paper, we compute the Gram determinants associated to each cell module of the Birman-Wenzl algebras. As a by-product, we give the necessary and sufficient condition for semisimple Birman-Wenzl algebras over an arbitrary field.
dc.description23 pages, we rewrite the paper. In particular, we delete some elementary computation. One can use the GAP program [19] to check the required formulae for small $n$ easily
dc.identifierhttps://arxiv.org/abs/math/0607266
dc.identifierhttp://arxiv.org/abs/math/0607266
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154971
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject16G99, 20C08
dc.titleGram determinants and semisimplity criteria for Birman-Wenzl algebras
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