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arXiv · 1911.04373

A Combinatorial Formula for Kazhdan-Lusztig Polynomials of $ρ$-Removed Uniform Matroids

Kyungyong Lee·George D. Nasr·Jamie Radcliffe
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Abstract

Let $ρ$ be a non-negative integer. A $ρ$-removed uniform matroid is a matroid obtained from a uniform matroid by removing a collection of $ρ$ disjoint bases. We present a combinatorial formula for Kazhdan-Lusztig polynomials of $ρ$-removed uniform matroids, using skew Young Tableaux. Even for uniform matroids, our formula is new, gives manifestly positive integer coefficients, and is more manageable than known formulas.

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Kyungyong Lee, George D. Nasr, Jamie Radcliffe. 2019-11-12. A Combinatorial Formula for Kazhdan-Lusztig Polynomials of $ρ$-Removed Uniform Matroids. https://arxiv.org/abs/1911.04373

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