Exceptional Lie algebra

In mathematics, an exceptional Lie algebra is a complex simple Lie algebra whose Dynkin diagram is of exceptional (nonclassical) type.

[2] The corresponding diagrams are:[3] In contrast, simple Lie algebras that are not exceptional are called classical Lie algebras (there are infinitely many of them).

There is no simple universally accepted way to construct exceptional Lie algebras; in fact, they were discovered only in the process of the classification program.

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