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arXiv · 1907.00099

Weighted $\mathsf{P}-$partitions enumerator

Marko Pešović·Tanja Stojadinović·Vladimir Grujić
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Abstract

To an extended permutohedron we associate the weighted integer points enumerator, whose principal specialization is the $f$-polynomial. In the case of poset cones it refines Gessel's $\mathsf{P}$-partitions enumerator. We show that this enumerator is a quasisymmetric function obtained by universal morphism from the Hopf algebra of posets.

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Marko Pešović, Tanja Stojadinović, Vladimir Grujić. 2019-06-28. Weighted $\mathsf{P}-$partitions enumerator. https://arxiv.org/abs/1907.00099

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