O. V. Ogievetsky, L. Poulain d'Andecy
Published 2011-11-27Version 1
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.
On representations of complex reflection groups G(m,1,n)
Class expansion of some symmetric functions in Jucys-Murphy elements
q-Schur algebras and complex reflection groups, I
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