arXiv:math/0502446 Abstract

arXiv:math/0502446 [math.CO]Abstract References Reviews Resources

Schur positivity and Schur log-concavity

Thomas Lam, Alexander Postnikov, Pavlo Pylyavskyy

Published 2005-02-21, updated 2005-12-09Version 3

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.

Comments: 9 pages

Categories: math.CO

Subjects: 05E05

Keywords: schur positivity, schur log-concavity, special case, okounkovs conjecture, schur functions

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