Left cells in affine Weyl groups
type: Item
instance of: scholarly article
title: Left cells in affine Weyl groups
zbMATH Open document ID: 0798.20040
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1994-11-09T00:00:00Z
review text: We prove a property of left cells in certain crystallographic groups \(W\), by which we formulate an algorithm to find a representative set of left cells of \(W\) in any given two-sided cell (in the sense of Kazhdan-Lusztig). As an illustration, we apply this algorithm to the case when \(W\) is the affine Weyl group of type \(\widetilde F_4\). This algorithm has been used by several authors in the study of Kazhdan-Lusztig cells of \(W\).
Mathematics Subject Classification ID: 20H15
Mathematics Subject Classification ID: 20G05
zbMATH DE Number: 589804
zbMATH Keywords: left cells
zbMATH Keywords: crystallographic groups
zbMATH Keywords: algorithms
zbMATH Keywords: two-sided cells
zbMATH Keywords: affine Weyl group of type \(\widetilde F_4\)
zbMATH Keywords: Kazhdan-Lusztig cells
author: Jian-yi Shi
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178225804
OpenAlex ID: W1985802764
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DOI: 10.2748/TMJ/1178225804
description: scientific article; zbMATH DE number 589804