ON THE FACTORIZATION OF THE HAAR MEASURE ON FINITECOXETER GROUPS
Roman Urban
Abstract: Let be a finite Coxeter group and let be the Haar measure on i.e.,
for every We prove that there exist a symmetric set of
generators of consisting of elements of order not greater than 2 and a finite set of
probability measures with their supports in such that their convolution
product
Keywords and phrases: Finite Coxeter groups, parabolic subgroups, convolution of
probability measures, factorization of measure, uniform distribution, Haar measure, subgroup
algorithm.