Kazhdan-Lusztig polynomials of matroids: a survey of results and conjectures

2016/11/22 by Gedeon, Katie, Proudfoot, Nicholas, Young, Benjamin · 2 citations
#05A15 #05B35 #20C30 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1611.07474

Abstract

We report on various results, conjectures, and open problems related to Kazhdan-Lusztig polynomials of matroids. We focus on conjectures about the roots of these polynomials, all of which appear here for the first time.

Cited by

• Intersection cohomology without spaces
• Inverse Kazhdan-Lusztig polynomials of matroids under deletion

Related

• Kazhdan-Lusztig polynomials of fan matroids, wheel matroids and whirl matroids
• The Kazhdan-Lusztig polynomials of uniform matroids
• The Kazhdan-Lusztig polynomial of a matroid
• The Z-polynomial of a matroid
• Kazhdan-Lusztig polynomials of thagomizer matroids