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

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

2011-11-27

arxiv.org/abs/1111.6293v1

Mathematics

Representation Theory

Scientific paper

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.

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