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  "body": "\n## Summary\n\nA Dynkin quiver is a [[quiver|RE9YFFS3TS]] whose underlying undirected graph is one of the simply laced Dynkin diagrams $A_n$, $D_n$, $E_6$, $E_7$ or $E_8$.\nBy [[Gabriel's theorem|FC78F2E87E]], these are exactly the connected quivers with only finitely many indecomposable representations up to isomorphism.\nThe orientation of the arrows does not matter for this property.\n\n## Explanations\n\n### L1 human\n\nForget the directions of the arrows of a quiver and look at the graph that remains.\nIf that graph is a line, a line with a fork at one end, or one of three special trees with a long tail, the quiver is a Dynkin quiver.\nFor example, $1 \\to 2 \\leftarrow 3$ is a Dynkin quiver of type $A_3$, since its graph is a line with three vertices.\nDynkin quivers are the quivers whose representations can be listed completely.\nThe same diagrams classify simple Lie algebras, which is a striking coincidence explained by root systems.\n",
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