O. V. Ogievetsky, L. Poulain d`Andecy. Fusion procedure for Coxeter groups of type B and complex reflection groups G(m,1,n)
Submitted on: Sep 12, 2012, 17:38:42
Natural Sciences / Mathematics / Algebra
Description: 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.
The abstract of this article will be published in the September 2012 issue of "Intellectual Archive Bulletin", ISSN 1929-1329.
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