Simple Lie algebra

In algebra, a simple Lie algebra is a Lie algebra that is nonabelian and contains no nonzero proper ideals. The classification of real simple Lie algebras is one of major achievements of Wilhelm Killing and Élie Cartan. A direct sum of simple Lie algebras is called a semisimple Lie algebra. A simple Lie group is a connected Lie group whose Lie algebra is simple.

Simple Lie algebra

In algebra, a simple Lie algebra is a Lie algebra that is nonabelian and contains no nonzero proper ideals. The classification of real simple Lie algebras is one of major achievements of Wilhelm Killing and Élie Cartan. A direct sum of simple Lie algebras is called a semisimple Lie algebra. A simple Lie group is a connected Lie group whose Lie algebra is simple.