Let $\gamma$ be a triple-edged graph that is associated with an admissible set in a real inner product space. Please, how do I show that $\gamma$ is the Coxeter graph of the Dynkin diagram, $G_2$?
An admissible set's graph being triple-edged means it corresponds to $G_2$?
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lie-groups
graphing-functions
coxeter-groups
dynkin-diagrams