# Gabriel's theorem

1. A (connected) quiver is of finite type if and only if its underlying graph (when the directions of the arrows are ignored) is one of the ADE Dynkin diagrams: ${\displaystyle A_{n}}$, ${\displaystyle D_{n}}$, ${\displaystyle E_{6}}$, ${\displaystyle E_{7}}$, ${\displaystyle E_{8}}$.