Abstract
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 JucysâMurphy elements.
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