The left cells of the Coxeter group of type \(H_ 4\)
type: Item
instance of: scholarly article
title: The left cells of the Coxeter group of type \(H_ 4\)
zbMATH Open document ID: 0615.20019
DOI: 10.1016/0021-8693(87)90082-2
author: Dean Alvis
published in: Journal of Algebra
publication date: 1987-01-01T00:00:00Z
review text: Let W be the Coxeter group of type \(H_ 4\). The author gives an explicit description for the left and two-sided cells of W as sets. He also establishes several properties of these cells, these properties were proved in certain crystallographic cases by Lusztig. The proofs of all the above results are based on the calculation of all the Kazhdan-Lusztig polynomials \(P_{y,w}\), y, \(w\in W\), by a computer.
Mathematics Subject Classification ID: 20G05
zbMATH DE Number: 3995964
zbMATH Keywords: Coxeter group
zbMATH Keywords: cells
zbMATH Keywords: Kazhdan-Lusztig polynomials
MaRDI profile type: Publication
full work available at URL: 0021-8693(87)90082-2
OpenAlex ID: W1974783675
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cites work: On a theorem of Benson and Curtis
cites work: Q4750022
cites work: Q4217748
description: scientific article; zbMATH DE number 3995964