The decomposition into left cells of the affine Weyl group of type \(\widetilde D_ 4\)
type: Item
instance of: scholarly article
title: The decomposition into left cells of the affine Weyl group of type \(\widetilde D_ 4\)
zbMATH Open document ID: 0799.20039
author: Chen Chengdong
published in: Journal of Algebra
publication date: 1994-11-21T00:00:00Z
review text: \textit{D. Kazhdan} and \textit{G. Lusztig} [Invent. Math. 53, 165-184 (1979; Zbl 0499.20035)] defined the concepts of left, right, and two-sided cells for a Coxeter group which play an important role in the representation theory of its associated Hecke algebra. In this paper the author describes all 508 left cells in the affine Weyl group \(W\) of type \(\widetilde{D}_ 4\) by using the canonical expression of the elements of \(W\), and the author also finds all 508 distinguished involutions for \(W\).
reviewed by: Chen Chengdong
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20F55
zbMATH DE Number: 554143
zbMATH Keywords: affine Weyl group of type \(\widetilde{D}_ 4\)
zbMATH Keywords: two-sided cells
zbMATH Keywords: Coxeter group
zbMATH Keywords: representation theory
zbMATH Keywords: Hecke algebra
zbMATH Keywords: left cells
zbMATH Keywords: involutions
MaRDI profile type: Publication
full work available at URL: jabr.1994.1038
OpenAlex ID: W2047770080
DOI: 10.1006/JABR.1994.1038
description: scientific article; zbMATH DE number 554143