Decomposition numbers of Brauer algebras in non-dividing characteristic.
type: Item
instance of: scholarly article
title: Decomposition numbers of Brauer algebras in non-dividing characteristic.
zbMATH Open document ID: 1329.20006
author: Armin Shalile
published in: Journal of Algebra
publication date: 2014-12-05T00:00:00Z
review text: In this paper, the author determines the decomposition matrices of Brauer algebras over a field of characteristic \(0\) and for fields of prime characteristic \(p\) with \(p\) larger than the degree of the Brauer algebra. The author reproves and extends work of Martin as well as by Cox and De Visscher over the complex field by using new methods which uniformly treat the characteristic \(0\) and prime characteristic cases. These methods are inspired by the theory of Jucys-Murphy elements and the use of refined induction and restriction functors which are generalizations of similar functors for symmetric groups.
Mathematics Subject Classification ID: 20C08
Mathematics Subject Classification ID: 16G20
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 05E10
Mathematics Subject Classification ID: 16S99
zbMATH DE Number: 6377604
zbMATH Keywords: Brauer algebras
zbMATH Keywords: decomposition numbers
zbMATH Keywords: modular representations
zbMATH Keywords: decomposition matrices
reviewed by: Hu Jun
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2014.10.040
OpenAlex ID: W2056136025
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DOI: 10.1016/J.JALGEBRA.2014.10.040
description: scientific article; zbMATH DE number 6377604