Lie Algebras
In terms of complex semisimple Lie algebras:
- corresponds to the special linear Lie algebra of traceless operators,
- corresponds to the even special orthogonal Lie algebra of even dimensional skew-symmetric operators, and
- are three of the five exceptional Lie algebras.
In terms of compact Lie algebras and corresponding simply laced Lie groups:
- corresponds to the algebra of the special unitary group
- corresponds to the algebra of the even projective special orthogonal group, while
- are three of five exceptional compact Lie algebras.
Read more about this topic: ADE Classification
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