Generalized McKay Quivers, Root System and Kac-Moody Algebras

Bo Hou, Shilin Yang

Let $Q$ be a finite quiver and $G\subseteq\Aut(\mathbbm{k}Q)$ a finite abelian group. Assume that $\hat{Q}$ and $\Gamma$ is the generalized Mckay quiver and the valued graph correspondi…