A quotient of the affine Hecke algebra in the Brauer algebra
type: Item
instance of: scholarly article
title: A quotient of the affine Hecke algebra in the Brauer algebra
zbMATH Open document ID: 0852.20035
published in: L'Enseignement Mathématique. 2e Série
publication date: 1996-11-06T00:00:00Z
review text: Summary: The structure of a certain subalgebra of Brauer's centralizer algebra is given for all values of the parameter for which it is semisimple. The algebra admits a trace functional whose weights on the simple components of the algebra are calculated. The algebra may be exhibited as a quotient of the affine Hecke algebra of type \(\widetilde A_n\), using generators and relations.
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 16P10
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 16W30
zbMATH DE Number: 856844
zbMATH Keywords: Brauer's centralizer algebras
zbMATH Keywords: trace functionals
zbMATH Keywords: simple components
zbMATH Keywords: affine Hecke algebras
zbMATH Keywords: generators
zbMATH Keywords: relations
author: V. F. R. Jones
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 856844