Equality of P-Partition Generating Functions
Publication Date
2014
Description
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
Journal
Annals of Combinatorics
Volume
18
Issue
3
First Page
489
Last Page
514
Department
Mathematics
Link to Published Version
DOI
dx.doi.org/10.1007/s00026-014-0236-7
Recommended Citation
McNamara, Peter and Ward, Ryan E.. "Equality of P-Partition Generating Functions." Annals of Combinatorics (2014) : 489-514.