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Gram determinants and semisimplicity criteria for Birman-Wenzl algebras

  • Hebing Rui and Mei Si
Published/Copyright: March 31, 2009
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Journal für die reine und angewandte Mathematik
From the journal Volume 2009 Issue 631

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

© Walter de Gruyter Berlin · New York 2009

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