Lecture hall P-partitions
Combinatorics
2016-09-12 v1
Abstract
We introduce and study s-lecture hall P-partitions which is a generalization of s-lecture hall partitions to labeled (weighted) posets. We provide generating function identities for s-lecture hall P-partitions that generalize identities obtained by Savage and Schuster for s-lecture hall partitions, and by Stanley for P-partitions. We also prove that the corresponding (P,s)-Eulerian polynomials are real-rooted for certain pairs (P,s), and speculate on unimodality properties of these polynomials.
Cite
@article{arxiv.1609.02790,
title = {Lecture hall P-partitions},
author = {Petter Brändén and Madeleine Leander},
journal= {arXiv preprint arXiv:1609.02790},
year = {2016}
}