Defining relations of Weyl groups for extended affine root systems \(A_ l^{(1,1)}\), \(B_ l^{(1,1)}\), \(C_ l^{(1,1)}\), \(D_ l^{(1,1)}\)
type: Item
instance of: scholarly article
title: Defining relations of Weyl groups for extended affine root systems \(A_ l^{(1,1)}\), \(B_ l^{(1,1)}\), \(C_ l^{(1,1)}\), \(D_ l^{(1,1)}\)
zbMATH Open document ID: 0836.20056
author: Tadayoshi Takebayashi
published in: Journal of Algebra
publication date: 1994-09-28T00:00:00Z
review text: The author determines the defining relations of Weyl groups for extended affine root systems of type \(A^{(1,1)}_l\), \(B^{(1,1)}_l\), \(C^{(1,1)}_l\), \(D^{(1,1)}_l\) and shows that similarly to the affine cases, each reflection is expressed by the product of finite type simple reflections and two translations.
reviewed by: Chiu Sen
Mathematics Subject Classification ID: 20F55
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 17B65
zbMATH DE Number: 645108
zbMATH Keywords: relations
zbMATH Keywords: Weyl groups
zbMATH Keywords: extended affine root systems
zbMATH Keywords: simple reflections
zbMATH Keywords: translations
MaRDI profile type: Publication
full work available at URL: jabr.1994.1256
OpenAlex ID: W1993717299
DOI: 10.1006/JABR.1994.1256
description: scientific article; zbMATH DE number 645108