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Gram determinants and semisimplity criteria for Birman-Wenzl algebras

Hebing Rui·Mei Si
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Abstract

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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BibTeXRIS

Hebing Rui, Mei Si. 2008-02-18. Gram determinants and semisimplity criteria for Birman-Wenzl algebras. https://arxiv.org/abs/math/0607266

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