Root systems, symmetries and linear representations of Artin groups

Olivier Geneste, Jean-Yves Hée, Luis Paris

Let $\Gamma$ be a Coxeter graph, let $W$ be its associated Coxeter group, and let $G$ be a group of symmetries of $\Gamma$.Recall that, by a theorem of H{é}e and Mühlherr, $W^G$ is a Coxeter…