A Combinatorial Formula for Kazhdan-Lusztig Polynomials of $\rho$-Removed Uniform Matroids
Combinatorics
2019-11-13 v2
Abstract
Let be a non-negative integer. A -removed uniform matroid is a matroid obtained from a uniform matroid by removing a collection of disjoint bases. We present a combinatorial formula for Kazhdan-Lusztig polynomials of -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.
Keywords
Cite
@article{arxiv.1911.04373,
title = {A Combinatorial Formula for Kazhdan-Lusztig Polynomials of $\rho$-Removed Uniform Matroids},
author = {Kyungyong Lee and George D. Nasr and Jamie Radcliffe},
journal= {arXiv preprint arXiv:1911.04373},
year = {2019}
}