Fusion procedure for Coxeter groups of type B and complex reflection groups G(m,1,n)
Representation Theory
2015-01-27 v1 Mathematical Physics
math.MP
Abstract
A complete system of primitive pairwise orthogonal idempotents for the Coxeter groups of type and, more generally, for the complex reflection groups 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.
Cite
@article{arxiv.1111.6293,
title = {Fusion procedure for Coxeter groups of type B and complex reflection groups G(m,1,n)},
author = {O. V. Ogievetsky and L. Poulain d'Andecy},
journal= {arXiv preprint arXiv:1111.6293},
year = {2015}
}