Permutation enumeration symmetric functions, and unimodality
type: Item
instance of: scholarly article
title: Permutation enumeration symmetric functions, and unimodality
zbMATH Open document ID: 0805.05089
author: Francesco Brenti
published in: Pacific Journal of Mathematics
publication date: 1995-01-26T00:00:00Z
review text: The paper studies certain polynomials obtained by enumeration permutations with respect to the exceedances, motivated by a conjecture of R. Stanley. The author applies the theory of symmetric functions (Schur polynomials etc.) to derive the enumeration polynomials and to prove the unimodality property, and finally he proposes some conjectures.
Mathematics Subject Classification ID: 05E05
zbMATH DE Number: 508851
zbMATH Keywords: Schur polynomials
zbMATH Keywords: enumeration permutations
zbMATH Keywords: symmetric functions
zbMATH Keywords: enumeration polynomials
zbMATH Keywords: unimodality
MaRDI profile type: Publication
full work available at URL: pjm.1993.157.1
OpenAlex ID: W1975246039
DOI: 10.2140/PJM.1993.157.1
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description: scientific article; zbMATH DE number 508851