Cell transfer and monomial positivity

Thomas Lam, Pavlo Pylyavskyy

Research output: Contribution to journalArticle

5 Scopus citations

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,ω)-partitions.

Original languageEnglish (US)
Pages (from-to)209-224
Number of pages16
JournalJournal of Algebraic Combinatorics
Volume26
Issue number2
DOIs
StatePublished - Sep 1 2007

Keywords

  • Monomial positivity
  • P-partitions
  • Symmetric functions

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