TY - JOUR
T1 - Schur positivity and Schur log-concavity
AU - Lam, Thomas
AU - Postnikov, Alexander
AU - Pylyavskyy, Pavlo
PY - 2007/12
Y1 - 2007/12
N2 - 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. We also give an intriguing log-concavity property of Schur functions.
AB - 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. We also give an intriguing log-concavity property of Schur functions.
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U2 - 10.1353/ajm.2007.0045
DO - 10.1353/ajm.2007.0045
M3 - Article
AN - SCOPUS:38049132507
SN - 0002-9327
VL - 129
SP - 1611
EP - 1622
JO - American Journal of Mathematics
JF - American Journal of Mathematics
IS - 6
ER -