Lusztig's isomorphism theorem for cellular algebras.
type: Item
instance of: scholarly article
title: Lusztig's isomorphism theorem for cellular algebras.
zbMATH Open document ID: 1107.16017
author: Jun Ding
author: Hu Jun
published in: Journal of Pure and Applied Algebra
publication date: 2006-03-29T00:00:00Z
review text: Following basically the ideas of \textit{G. Lusztig} [J. Algebra 71, 490-498 (1981; Zbl 0465.20042)], the authors prove an isomorphism theorem for cellular semisimple systems with parameters. Because of the complicated statement of the main result, I refer the reader to the paper for details.
Mathematics Subject Classification ID: 16G10
Mathematics Subject Classification ID: 20C08
Mathematics Subject Classification ID: 20F55
zbMATH DE Number: 5016246
zbMATH Keywords: cellular algebras
zbMATH Keywords: semisimple systems with parameters
zbMATH Keywords: Lusztig isomorphism theorem
zbMATH Keywords: Ariki-Koike algebras
zbMATH Keywords: cyclotomic \(q\)-Schur algebras
zbMATH Keywords: Birman-Murakami-Wenzl algebras
zbMATH Keywords: cyclotomic Hecke algebras
zbMATH Keywords: Iwahori-Hecke algebras
zbMATH Keywords: finite Weyl groups
reviewed by: Changchang Xi
MaRDI profile type: Publication
full work available at URL: j.jpaa.2005.06.015
OpenAlex ID: W2129121083
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DOI: 10.1016/J.JPAA.2005.06.015
description: scientific article; zbMATH DE number 5016246