The equivariant Kazhdan-Lusztig polynomial of a matroid
  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. 
Katie Gedeon, Nicholas Proudfoot, and Ben Young
math.CO math.GR