Perfect Lie algebra
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)
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.