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Schur positivity and Schur log-concavity

Thomas Lam·Alexander Postnikov·Pavlo Pylyavskyy
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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.

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Thomas Lam, Alexander Postnikov, Pavlo Pylyavskyy. 2005-12-09. Schur positivity and Schur log-concavity. https://arxiv.org/abs/math/0502446

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