Perfect Lie algebra

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This article defines a property for a Lie algebra

ANALOGY: This is an analogue in Lie algebra of a property encountered in group. Specifically, it is a Lie algebra property analogous to the group property: perfect group
View other analogues of perfect group | View other analogues in Lie algebras of group properties (OR, View as a tabulated list)

Definition

A Lie algebra is said to be perfect if it equals its own commutator ideal. In other words, a Lie algebra is said to be perfect if every element of the Lie algebra is in the ideal generated by commutators.

Also see perfect Lie ring.

Relation with other properties

Stronger properties