Left cells in the Weyl group of type \(E_8\)
type: Item
instance of: scholarly article
title: Left cells in the Weyl group of type \(E_8\)
zbMATH Open document ID: 0968.20022
author: Yu Chen
published in: Journal of Algebra
publication date: 2001-03-12T00:00:00Z
review text: The author gives an explicit description for all the left cells of the Weyl group \(W\) of type \(E_8\). He first finds a representative set \(\Sigma\) for the left cells of \(W\) and then uses it to describe these cells. The author's results show that most of the left cells in \(W\) can be characterized by their generalized \(\tau\)-invariants alone. Then the remaining ones (which are called exceptional left cells) are characterized by the generalized \(\tau\)-invariants together with the \(a\)-values.
reviewed by: Ye Jiachen
Mathematics Subject Classification ID: 20F55
Mathematics Subject Classification ID: 20H15
Mathematics Subject Classification ID: 20G05
zbMATH DE Number: 1526438
zbMATH Keywords: Weyl groups
zbMATH Keywords: left cells
zbMATH Keywords: generalized \(\tau\)-invariants
zbMATH Keywords: \(a\)-values
MaRDI profile type: Publication
full work available at URL: jabr.1999.8376
OpenAlex ID: W2085543986
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DOI: 10.1006/JABR.1999.8376
description: scientific article; zbMATH DE number 1526438