Schur positivity and Schur log-concavity

Details Schur positivity and Schur log-concavity Schur positivity and Schur log-concavity

2005-02-21

arxiv.org/abs/math/0502446v3

Mathematics

Combinatorics

9 pages

Scientific paper

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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