The Lefschetz property for an algebra defined by matchings
Commutative Algebra
2023-02-23 v1 Combinatorics
Abstract
In this article, we consider the weighted generating function of matchings in the complete graph. We define an Artinian Gorenstein algebra as the quotient ring of a polynomial ring by the annihilator of the generating function. We show the strong Lefschetz property of the algebra.
Keywords
Cite
@article{arxiv.2302.11039,
title = {The Lefschetz property for an algebra defined by matchings},
author = {Yasuhide Numata},
journal= {arXiv preprint arXiv:2302.11039},
year = {2023}
}