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Gram determinants and semisimplicity criteria for Birman-Wenzl algebras.

Authors :
Hebing Rui
Mei Si
Source :
Journal für die Reine und Angewandte Mathematik. Jun2009, Vol. 2009 Issue 631, p153-179. 27p.
Publication Year :
2009

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00754102
Volume :
2009
Issue :
631
Database :
Academic Search Index
Journal :
Journal für die Reine und Angewandte Mathematik
Publication Type :
Academic Journal
Accession number :
47544397
Full Text :
https://doi.org/10.1515/CRELLE.2009.045