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Article
Equality of P-Partition Generating Functions
Annals of Combinatorics
  • Peter McNamara, Bucknell University
  • Ryan E. Ward
Publication Date
1-1-2014
Volume
18
Issue
3
Disciplines
Abstract
To every labeled poset (P, omega), one can associate a quasisymmetric generating function for its (P, omega)-partitions. We ask: when do two labeled posets have the same generating function? Since the special case corresponding to skew Schur function equality is still open, a complete classification of equality among (P, omega) generating functions is likely too much to expect. Instead, we determine necessary conditions and separate sufficient conditions for two labeled posets to have equal generating functions. We conclude with a classification of all equalities for labeled posets with small numbers of linear extensions
DOI
dx.doi.org/10.1007/s00026-014-0236-7
Citation Information
Peter McNamara and Ryan E. Ward. "Equality of P-Partition Generating Functions" Annals of Combinatorics (2014) p. 489 - 514
Available at: http://works.bepress.com/peter_mcnamara/24/