Logarithmic concavity of Schur and related polynomials
Combinatorics
2019-09-27 v3 Algebraic Geometry
Representation Theory
Abstract
We show that normalized Schur polynomials are strongly log-concave. As a consequence, we obtain Okounkov's log-concavity conjecture for Littlewood-Richardson coefficients in the special case of Kostka numbers.
Keywords
Cite
@article{arxiv.1906.09633,
title = {Logarithmic concavity of Schur and related polynomials},
author = {June Huh and Jacob P. Matherne and Karola Mészáros and Avery St. Dizier},
journal= {arXiv preprint arXiv:1906.09633},
year = {2019}
}
Comments
17 pages