Equivariant incidence algebras and equivariant Kazhdan-Lusztig-Stanley theory

2020/09/14 by Proudfoot, Nicholas · 2 citations
#05B35 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2009.06696

Abstract

We establish a formalism for working with incidence algebras of posets with symmetries, and we develop equivariant Kazhdan-Lusztig-Stanley theory within this formalism. This gives a new way of thinking about the equivariant Kazhdan-Lusztig polynomial and equivariant Z-polynomial of a matroid.

Cited by

• Subdivisions of lower Eulerian posets and KLS theory
• Equivariant inverse Kazhdan--Lusztig polynomials of thagomizer matroids

Related

• The equivariant Kazhdan-Lusztig polynomial of a matroid
• The equivariant inverse Kazhdan-Lusztig polynomials of uniform matroids
• Equivariant Kazhdan-Lusztig polynomials of thagomizer matroids
• Equivariant Kazhdan-Lusztig polynomials of q-niform matroids
• Equivariant Kazhdan-Lusztig theory of paving matroids