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arxiv: math/0607266 · v2 · submitted 2006-07-11 · 🧮 math.QA · math.RT

Gram determinants and semisimplity criteria for Birman-Wenzl algebras

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keywords algebrasbirman-wenzldeterminantsgramarbitraryassociatedby-productcell
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In 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.

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