Ordering the symmetric group: why using the Iwahori-Hecke algebra?
type: Item
instance of: scholarly article
title: Ordering the symmetric group: why using the Iwahori-Hecke algebra?
zbMATH Open document ID: 0909.05048
published in: Documenta Mathematica
publication date: 1998-08-05T00:00:00Z
full work available at URL: https://eudml.org/doc/228538
full work available at URL: Lascoux.MAN.html
review text: The paper discusses three known ways of describing the Bruhat order on the symmetric group and introduces a fourth. This fourth description employs a distinguished linear basis of the Iwahori-Hecke algebra of the symmetric group and also makes use of the Kazhdan-Lusztig polynomials.
Mathematics Subject Classification ID: 05E10
Mathematics Subject Classification ID: 20C30
zbMATH DE Number: 1184374
zbMATH Keywords: symmetric group
zbMATH Keywords: Bruhat order
zbMATH Keywords: Kazhdan-Lusztig polynomials
zbMATH Keywords: Bruhat order on the symmetric group
zbMATH Keywords: Iwahori-Hecke algebra
author: Alain Lascoux
reviewed by: Angèle. M. Hamel
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1184374