Schur positivity and Schur log-concavity
Combinatorics
2009-09-29 v3
Abstract
We prove Okounkov's conjecture, a conjecture of Fomin-Fulton-Li-Poon, and a special case of Lascoux-Leclerc-Thibon's conjecture on Schur positivity and give several more general statements using a recent result of Rhoades and Skandera. An alternative proof of this result is provided. We also give an intriguing log-concavity property of Schur functions.
Cite
@article{arxiv.math/0502446,
title = {Schur positivity and Schur log-concavity},
author = {Thomas Lam and Alexander Postnikov and Pavlo Pylyavskyy},
journal= {arXiv preprint arXiv:math/0502446},
year = {2009}
}
Comments
9 pages