Cell transfer and monomial positivity

Authors:
Thomas Lam;Pavlo Pylyavskyy
Affiliations:
Department of Mathematics, Harvard University, Cambridge, USA 02138;Department of Mathematics, M.I.T., Cambridge, USA 02139
Venue:
Journal of Algebraic Combinatorics: An International Journal
Year:
2007

Citing 2
Cited 1

Enumerative combinatorics

Enumerative combinatorics
Inequalities between Littlewood-Richardson coefficients

Journal of Combinatorial Theory Series A

Schur positivity and the q-log-convexity of the Narayana polynomials

Journal of Algebraic Combinatorics: An International Journal

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Abstract

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,驴)-partitions.