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Journal für die reine und angewandte Mathematik

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Gram determinants and semisimplicity criteria for Birman-Wenzl algebras

Hebing Rui1 / Mei Si2

1Department of Mathematics, East China Normal University, Shanghai, 200241, China. e-mail:

2Department of Mathematics, East China Normal University, Shanghai, 200241, China. e-mail:

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2009, Issue 631, Pages 153–179, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/CRELLE.2009.045, March 2009

Publication History

Received:
2006-07-14
Revised:
2008-02-18
Published Online:
2009-03-31

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.

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[1]
Hebing Rui and Mei Si
Journal of Pure and Applied Algebra, 2008, Volume 212, Number 10, Page 2209
[2]
Hebing Rui and Mei Si
Algebras and Representation Theory, 2012, Volume 15, Number 3, Page 551

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