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Monodromie algebrique des groupes d'Artin diedraux

2005/02/06 by Iván Marín, Ivan Marin, Marin, Ivan
Mathematics · #14F35 #20C08 #20F36 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #math.AG #math.RT #msc:14F35 #msc:20C08 #msc:20F36

paper · pdf · doi:10.48550/arxiv.math/0502115

French; 32 pages, figures

arxiv created 2005/02/06 · openalex publication_date 2005/02/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Towards the study of the representation theory of any dihedral Artin group B, we build rational morphisms from B to the group of invertible elements of the associated infinitesimal braids algebra. For this we build analogues of Drinfeld associators, in rank 2 for arbitrary dihedral symmetries of the plane.

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