2019/11/11 by Kyungyong Lee, Lee, Kyungyong, George D. Nasr +3
Mathematics · #Advanced Combinatorial Mathematics #Commutative Algebra and Its Applications #Algebraic structures and combinatorial models
paper · pdf · doi:10.48550/arxiv.1911.04373
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.