Symmetric cyclotomic Hecke algebras
type: Item
instance of: scholarly article
title: Symmetric cyclotomic Hecke algebras
zbMATH Open document ID: 0913.20006
author: Gunter Malle
author: Andrew Mathas
published in: Journal of Algebra
publication date: 1999-05-25T00:00:00Z
review text: Let \(V\) be an \(n\)-dimensional unitary space and let \(W_n\) be the imprimitive complex reflection group on \(V\). \textit{M. Broué} and the first author [Astérisque 212, 119-189 (1993; Zbl 0835.20064)] introduced the concept of cyclotomic Hecke algebra \(H(W,u)\) associated with \(W\). In this paper, the authors prove that \(H(W,u)\) is symmetric over any ring containing inverses of the parameters.
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 20F55
Mathematics Subject Classification ID: 20H15
zbMATH DE Number: 1218716
zbMATH Keywords: complex reflection groups
zbMATH Keywords: cyclotomic Hecke algebras
reviewed by: Ahmed A. Khammash
MaRDI profile type: Publication
OpenAlex ID: W2068901702
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DOI: 10.1006/JABR.1997.7339
description: scientific article; zbMATH DE number 1218716