Cell transfer and monomial positivity

Thomas Lam, Pavlo Pylyavskyy

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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
Issue number2
StatePublished - Sep 2007

Bibliographical note

Funding Information:
T.L. was supported in part by NSF DMS-0600677.


  • Monomial positivity
  • P-partitions
  • Symmetric functions


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