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Caracteres de rigidite du groupe de Grothendieck-Teichmuller
Ivan Marin
Let $\k$ be a (topological) field of characteristic 0. Using a Drinfeld associator , a representation of the braid group over the field $\k((h))$ of Laurent series can be…
Monodromie algebrique des groupes d'Artin diedraux
Ivan Marin
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…
L'algebre de Lie des transpositions
Ivan Marin
For any we obtain the decomposition in simple factors of the Lie subalgebra of the group algebra of the symmetric group on letters generated by the transpositions. T…
On the representation theory of braid groups
Ivan Marin
This work presents an approach towards the representation theory of the braid groups . We focus on finite-dimensional representations over the field of Laurent series which ca…