On the affine Weyl group of type \(\tilde A_{n-1}\)
type: Item
instance of: scholarly article
title: On the affine Weyl group of type \(\tilde A_{n-1}\)
zbMATH Open document ID: 0634.20014
DOI: 10.1155/S0161171287000188
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46242
review text: The author proves that the Weyl group \(\tilde A_{n-1}\) is a split extension of \(S_ n\) by a direct product of (n-1) copies of Z. The center is trivial for \(n>4\). Also, \(\tilde A_{3-1}\) and \(\tilde A_{4- 1}\) are solvable of length 3 and 4 respectively. For \(n>4\), the first and second derived groups are identical.
Mathematics Subject Classification ID: 20F05
zbMATH DE Number: 4031952
zbMATH Keywords: Weyl group
zbMATH Keywords: split extension
zbMATH Keywords: solvable
zbMATH Keywords: derived groups
author: M. A. Albar
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4031952