%0 Journal Article %T Fusion procedure for Coxeter groups of type B and complex reflection groups G(m,1,n) %A O. V. Ogievetsky %A L. Poulain d'Andecy %J Mathematics %D 2011 %I arXiv %X A complete system of primitive pairwise orthogonal idempotents for the Coxeter groups of type $B$ and, more generally, for the complex reflection groups $G(m,1,n)$ 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. %U http://arxiv.org/abs/1111.6293v1