Fusion procedure for Coxeter groups of type 𝐵 and complex reflection groups 𝐺(𝑚,1,𝑛)

A complete system of primitive pairwise orthogonal idempotents for the Coxeter groups of type B B and, more generally, for the complex reflection groups G ( m , 1 , n ) G(m,1,n) is constructed by a sequence of evaluations of a rational function in several variables with values in the group ring. The evaluations correspond to the eigenvalues of the two arrays of Jucys–Murphy elements.