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arXiv · 1111.6293

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

O. V. Ogievetsky·L. Poulain d'Andecy
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Abstract

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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BibTeXRIS

O. V. Ogievetsky, L. Poulain d'Andecy. 2011-11-27. Fusion procedure for Coxeter groups of type B and complex reflection groups G(m,1,n). https://arxiv.org/abs/1111.6293

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