Schur positivity and Schur log-concavity

Alexander Postnikov; Pavlo Pylyavskyy; Thomas Lam

arxiv: math/0502446 · v3 · submitted 2005-02-21 · 🧮 math.CO

Schur positivity and Schur log-concavity

Thomas Lam , Alexander Postnikov , Pavlo Pylyavskyy This is my paper

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keywords schurconjecturegivelog-concavitypositivityresultalternativecase

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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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