A Lie algebra is perfect when . Every semisimple Lie algebra over a field of characteristic zero is perfect.
Perfectness is a property of a Lie algebra, defined by equality with its commutator algebra; semisimplicity is a sufficient condition in characteristic zero.

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  1. Semisimple Lie algebra
  2. Lie algebra
  3. Lie theory
  4. Diagonal dominance
  5. Algebra
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