Combinatorial interpretation and positivity of Kerov's character polynomials
type: Item
instance of: scholarly article
title: Combinatorial interpretation and positivity of Kerov's character polynomials
zbMATH Open document ID: 1226.05258
author: Valentin Féray
published in: Journal of Algebraic Combinatorics
publication date: 2009-09-25T00:00:00Z
full work available at URL: https://arxiv.org/abs/0710.5885
Mathematics Subject Classification ID: 05E10
zbMATH DE Number: 5607595
zbMATH Keywords: representations
zbMATH Keywords: symmetric group
zbMATH Keywords: maps
MaRDI profile type: Publication
OpenAlex ID: W2060870403
arXiv ID: 0710.5885
cites work: Some properties of crossings and partitions
cites work: Representations of symmetric groups and free probability
cites work: Q4422475
cites work: On the formula of Goulden and Rattan for Kerov polynomials
cites work: Asymptotics of characters of symmetric groups related to Stanley character formula
cites work: The combinatorial relationship between trees, cacti and certain connection coefficients for the symmetric group
cites work: An explicit form for Kerov's character polynomials
cites work: The asymptotics of interlacing sequences and the growth of continual Young diagrams
cites work: Two positivity conjectures for Kerov polynomials
cites work: Q3947818
cites work: Upper bound on the characters of the symmetric groups for balanced Young diagrams and a generalized Frobenius formula.
cites work: Gaussian fluctuations of characters of symmetric groups and of Young diagrams
cites work: Asymptotics of characters of symmetric groups, genus expansion and free probability.
cites work: Irreducible symmetric group characters of rectangular shape.
DOI: 10.1007/S10801-008-0147-Y
Recommended article: Q4584027
Recommended article: Explicit combinatorial interpretation of Kerov character polynomials as numbers of permutation factorizations
Recommended article: An explicit form for Kerov's character polynomials
Recommended article: Q4896379
Recommended article: Two positivity conjectures for Kerov polynomials
Recommended article: Positivity of permutation pattern character polynomials
Recommended article: The combinatorics of \(q\)-Charlier polynomials
Recommended article: On the positivity of Kirillov's character formula
Recommended article: Towards combinatorial invariance for Kazhdan-Lusztig polynomials
Recommended article: On the combinatorial invariance of Kazhdan--Lusztig polynomials
description: scientific article