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Représentations du groupe des tresses généralisées dans des groupes de Lie

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Let Γ be a Lie group.Then any automorphism of the free group of rank n induces a diffeomorphism of Γn. We use this remark and a result of P. Vogel to construct linear representations of a certain automorphism group of the algebraic closure of the free group. This automorphism group is closely related to the string link cobordism group.

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  1. Département de Mathématiques, Université Blaise Pascal, F-63177 Aubière cedex. e-mail: jledimet@ucfma.univ-bpclermont.fr, , , , , , FR

    Jean-Yves Le Dimet

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  1. Jean-Yves Le Dimet
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Le Dimet, JY. Représentations du groupe des tresses généralisées dans des groupes de Lie . manuscripta math. 96, 507–515 (1998). https://doi.org/10.1007/s002290050079

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  • DOI: https://doi.org/10.1007/s002290050079

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