Gram determinants and semisimplicity criteria for Birman-Wenzl algebras

Hebing Rui; Mei Si

doi:10.1515/CRELLE.2009.045

Published by De Gruyter March 31, 2009

Gram determinants and semisimplicity criteria for Birman-Wenzl algebras

Hebing Rui and Mei Si

From the journal Journal für die reine und angewandte Mathematik

https://doi.org/10.1515/CRELLE.2009.045

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Abstract

In this paper, we compute all Gram determinants associated to all cell modules of Birman-Wenzl algebras. As a by-product, we give a necessary and sufficient condition for Birman-Wenzl algebras being semisimple over an arbitrary field.

Received: 2006-07-14

Revised: 2008-02-18

Published Online: 2009-03-31

Published in Print: 2009-June

Gram determinants and semisimplicity criteria for Birman-Wenzl algebras

Abstract

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