# Compactification d’espaces de représentations de groupes de type fini

@article{Parreau2010CompactificationDD, title={Compactification d’espaces de repr{\'e}sentations de groupes de type fini}, author={Anne Parreau}, journal={Mathematische Zeitschrift}, year={2010}, volume={272}, pages={51-86} }

Let Γ be a finitely generated group and G be a noncompact semisimple connected real Lie group with finite center. We consider the space $${\fancyscript X(\Gamma, G)}$$ of conjugacy classes of semisimple representations of Γ into G, which is the maximal Hausdorff quotient of $${{\rm Hom}(\Gamma, G)/G}$$ . We define the translation vector of $${g \in G}$$, with value in a Weyl chamber, as a natural refinement of the translation length of g in the symmetric space associated with G. We construct a…

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