Kazhdan-Lusztig polynomials of Dowling geometries
Combinatorics
2026-05-06 v1
Abstract
We give a concrete combinatorial interpretation of the coefficients of the Kazhdan-Lusztig polynomials of Dowling geometries, a family of matroids which generalizes braid matroids of types A and B. Furthermore, we interpret the coefficients of the equivariant Kazhdan-Lusztig polynomials and the equivariant Z-polynomials of Dowling geometries associated to non-trivial groups with respect to their full automorphism groups.
Keywords
Cite
@article{arxiv.2605.04043,
title = {Kazhdan-Lusztig polynomials of Dowling geometries},
author = {Luis Ferroni and Matt Larson},
journal= {arXiv preprint arXiv:2605.04043},
year = {2026}
}