Dynkin quiver

Summary

A Dynkin quiver is a quiver whose underlying undirected graph is one of the simply laced Dynkin diagrams $A_n$, $D_n$, $E_6$, $E_7$ or $E_8$. By Gabriel's theorem, these are exactly the connected quivers with only finitely many indecomposable representations up to isomorphism. The orientation of the arrows does not matter for this property.