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arXiv · 1301.4399

Fusion procedure for wreath products of finite groups by the symmetric group

L. Poulain d'Andecy
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Abstract

Let G be a finite group. A complete system of pairwise orthogonal idempotents is constructed for the wreath product of G by the symmetric group by means of a fusion procedure, that is by consecutive evaluations of a rational function with values in the group ring. This complete system of idempotents is indexed by standard Young multi-tableaux. Associated to the wreath product of G by the symmetric group, a Baxterized form for the Artin generators of the symmetric group is defined and appears in the rational function used in the fusion procedure.

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L. Poulain d'Andecy. 2013-01-28. Fusion procedure for wreath products of finite groups by the symmetric group. https://arxiv.org/abs/1301.4399

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