Geodesic
Cell transfer and monomial positivity
Journal of Algebraic Combinatorics, Tome 26 (2007) no. 2, pp. 209-224.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 expected of a large class of generating functions with combinatorial definitions similar to Schur functions. These generating functions are defined on posets with labelled Hasse diagrams and include for example generating functions of Stanley's $( P,\omega )$-partitions.
Keywords: keywords symmetric functions, monomial positivity, P-partitions 
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     author = {Lam, Thomas and Pylyavskyy, Pavlo},
     title = {Cell transfer and monomial positivity},
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Lam, Thomas; Pylyavskyy, Pavlo. Cell transfer and monomial positivity. Journal of Algebraic Combinatorics, Tome 26 (2007) no. 2, pp. 209-224. http://geodesic.mathdoc.fr/item/JAC_2007__26_2_a2/