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arXiv · 1902.01241

Equivariant Kazhdan-Lusztig polynomials of thagomizer matroids

Matthew H. Y. Xie·Philip B. Zhang
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Abstract

The equivariant Kazhdan-Lusztig polynomial of a matroid was introduced by Gedeon, Proudfoot, and Young. Gedeon conjectured an explicit formula for the equivariant Kazhdan-Lusztig polynomials of thagomizer matroids with an action of symmetric groups. In this paper, we discover a new formula for these polynomials which is related to the equivariant Kazhdan-Lusztig polynomials of uniform matroids. Based on our new formula, we confirm Gedeon's conjecture by the Pieri rule.

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BibTeXRIS

Matthew H. Y. Xie, Philip B. Zhang. 2019-02-04. Equivariant Kazhdan-Lusztig polynomials of thagomizer matroids. https://arxiv.org/abs/1902.01241

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