A combinatorial formula for of \(\rho\)-removed uniform matroids (Q2205117)

Summary: Let \(\rho\) be a non-negative integer. A \(\rho\)-removed uniform matroid is a matroid obtained from a uniform matroid by removing a collection of \(\rho\) disjoint bases. We present a combinatorial formula for Kazhdan-Lusztig polynomials of \(\rho\)-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.