Strict unimodality of q-binomial coefficients
Combinatorics
2013-11-12 v2
Abstract
We prove strict unimodality of the q-binomial coefficients \binom{n}{k}_q as polynomials in q. The proof is based on the combinatorics of certain Young tableaux and the semigroup property of Kronecker coefficients of S_n representations.
Cite
@article{arxiv.1306.5085,
title = {Strict unimodality of q-binomial coefficients},
author = {Igor Pak and Greta Panova},
journal= {arXiv preprint arXiv:1306.5085},
year = {2013}
}
Comments
4 pages. version 2: minor changes in theorems 1, 6 and lemma 2; details added