\(q\)-Eulerian polynomials arising from Coxeter groups
type: Item
instance of: scholarly article
title: \(q\)-Eulerian polynomials arising from Coxeter groups
zbMATH Open document ID: 0809.05012
author: Francesco Brenti
published in: European Journal of Combinatorics
publication date: 1995-03-20T00:00:00Z
review text: The author generalizes the classical Eulerian numbers and Eulerian polynomials by the enumeration of a finite Coxeter system with respect to the number of descents. Natural \(q\)-analogues are given. The results are relevant for computing Betti numbers of certain toric projective varieties.
Mathematics Subject Classification ID: 05A30
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05E10
Mathematics Subject Classification ID: 11B68
Mathematics Subject Classification ID: 20F55
zbMATH DE Number: 683265
zbMATH Keywords: Coxeter groups
zbMATH Keywords: Eulerian numbers
zbMATH Keywords: Eulerian polynomials
zbMATH Keywords: enumeration
zbMATH Keywords: Betti numbers
reviewed by: László A. Székely
MaRDI profile type: Publication
full work available at URL: eujc.1994.1046
OpenAlex ID: W2029984980
DOI: 10.1006/EUJC.1994.1046
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description: scientific article; zbMATH DE number 683265