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![](http://upload.wikimedia.org/wikipedia/commons/thumb/5/5f/ConnectedDynkinDiagrams.png/194px-ConnectedDynkinDiagrams.png)
Credit: Michael Larsen
These are all the connected Dynkin diagrams, which classify the irreducible root systems, which themselves classify simple complex Lie algebras and simple complex Lie groups. These diagrams are therefore fundamental throughout Lie group theory.
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