The Tutte Polynomial of Complex Reflection Groups

2019/11/20 by Randriamaro, Hery
#20F36 #52C35 #90C90 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1911.08792

Abstract

This article computes the Tutte polynomial of the hyperplane arrangements associated to the complex reflection groups. The calculations are based on both formulas of De Concini and Procesi for Tutte polynomial and the normaliser of parabolic subgroups in complex reflection groups determined by Krishnasamy and Taylor.

Related

• The Tutte Polynomial of Symmetric Hyperplane Arrangements
• Tutte Polynomials of Symmetric Hyperplane Arrangements
• Basic Invariants of the Complex Reflection Group No.34 Constructed by Conway and Sloane
• A Tutte polynomial for maps
• Tutte Polynomial of Ideal Arrangement