Hyperoctahedral Schur algebras
type: Item
instance of: scholarly article
title: Hyperoctahedral Schur algebras
zbMATH Open document ID: 0965.20006
published in: Journal of Algebra
publication date: 2001-05-06T00:00:00Z
review text: This paper gives a description of the centralizing algebra for the natural action of the Weyl group of type \(B_r\) on the \(r\)-th tensor power of a \(2n\)-dimensional space \(V\). That is a description of the endomorphisms of \(V^{\otimes r}\) that commute with the action of \(B_r\). The multiplicative structure of the centralizing algebra is given. Then a similar study is completed for the associated Hecke algebra of type \(B\) acting on such modules.
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 20C08
zbMATH DE Number: 1026098
zbMATH Keywords: centralizing algebras
zbMATH Keywords: hyperoctahedral groups
zbMATH Keywords: Weyl groups
zbMATH Keywords: Hecke algebras of type \(B\)
author: R. M. Green
reviewed by: Nantel Bergeron
MaRDI profile type: Publication
OpenAlex ID: W2045111359
cites work: Quantum GLn
cites work: The q ‐Schur Algebra
cites work: Representations of Hecke algebras of type \(B_n\)
cites work: Q4308234
cites work: Polynomial representations of \(GL_n\)
cites work: Decomposition numbers of finite classical groups for linear primes.
cites work: Q3998721
cites work: Q3035669
DOI: 10.1006/JABR.1996.6935
description: scientific article; zbMATH DE number 1026098