The equivariant Kazhdan-Lusztig polynomial of a matroid

摘要

We define the equivariant-Kazhdan Lusztig polynomial of a matroid equipped with a group of symmetries, generalizing the nonequivariant case. We compute this invariant for arbitrary uniform matroids and for braid matroids of small rank. (C) 2017 Elsevier Inc. All rights reserved.