Proof of two conjectures of Brenti and Simion on Kazhdan-Lusztig polynomials
type: Item
instance of: scholarly article
title: Proof of two conjectures of Brenti and Simion on Kazhdan-Lusztig polynomials
zbMATH Open document ID: 1067.05078
DOI: 10.1023/B:JACO.0000011936.75388.14
author: Fabrizio Caselli
published in: Journal of Algebraic Combinatorics
publication date: 2004-03-15T00:00:00Z
review text: This paper gives results in the direction of explicit formulae for the Kazhdan-Lusztig polynomials of the symmetric group when the indexing permutations are of particular form. These results imply, in particular, the validity of two conjectures of \textit{F. Brenti} and \textit{R. Simion} [J. Algebr. Comb. 11, 187--196 (2000; Zbl 0958.05138)]. All the proofs are purely combinatorial.
reviewed by: Cornel Baetica
Mathematics Subject Classification ID: 05E15
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 11B39
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 05E10
zbMATH DE Number: 2057285
zbMATH Keywords: Kazhdan-Lusztig polynomial
zbMATH Keywords: symmetric group
zbMATH Keywords: Bruhat order
Wikidata QID: Q122979883
MaRDI profile type: Publication
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full work available at URL: b:jaco.0000011936.75388.14
OpenAlex ID: W1972774253
description: scientific article; zbMATH DE number 2057285