Abstract:This is the joint work with Bo Hou. Let $Q$ be a finite union of Dynkin quivers, $G$ a finite abelian subgroup of $Aut(kQ)$, $\hat{Q}$ the generalized Mckay quiver of $(Q, G)$ and $\Gamma_Q$ the Auslander-Reiten quiver of $kQ$. Then $G$ acts functorially on quiver $\Gamma_Q$. We show that the Auslander-Reiten quiver of $k\hat{Q}$ coincides with the generalized Mckay quiver of $(\Gamma_Q, G)$.