Double cyclotomic symmetric groups.
type: Item
instance of: scholarly article
title: Double cyclotomic symmetric groups.
zbMATH Open document ID: 1116.20006
author: Hebing Rui
author: Xin Wang
published in: Journal of Algebra
publication date: 2005-06-10T00:00:00Z
review text: This paper considers the structure and representation theory of certain finite dimensional quotients \(H_r\) of the toroidal symmetric groups. The authors prove that \(H_r\) is a cellular algebra by constructing a cellular basis for \(H_r\). Permutation modules and corresponding endomorphism algebras for \(H_r\) are also studied. The main result of this paper is a kind of generalization of the result of Dipper-James-Mathas for Ariki-Koike algebras to the case of cyclotomic toroidal symmetric groups.
Mathematics Subject Classification ID: 20C08
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 05E10
zbMATH DE Number: 2174888
zbMATH Keywords: toroidal symmetric groups
zbMATH Keywords: Ariki-Koike algebras
zbMATH Keywords: cellular algebras
zbMATH Keywords: cellular bases
zbMATH Keywords: permutation modules
reviewed by: Hu Jun
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2005.02.031
OpenAlex ID: W1964416975
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DOI: 10.1016/J.JALGEBRA.2005.02.031
description: scientific article; zbMATH DE number 2174888