Simple 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: simple group
View other analogues of simple group | View other analogues in Lie algebras of group properties (OR, View as a tabulated list)

This article is about a standard (though not very rudimentary) definition in an area related to, but not strictly part of, group theory

Definition

Symbol-free definition

A Lie algebra is said to be simple if it is not Abelian, and if it has no proper nonzero ideal.