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math.CO2005★ 1 cited
Cell transfer and monomial positivity
Thomas Lam, Pavlo Pylyavskyy
We give combinatorial proofs that certain families of differences of products of Schur functions are monomial-positive. We show in addition that such monomial-positivity is to be e…
math.CO2005★ 1 cited
Schur positivity and Schur log-concavity
Thomas Lam, Alexander Postnikov, Pavlo Pylyavskyy
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 st…