Simple Lie algebra
Note: This draft, when it becomes matured and informative, will replace the current redirect simple Lie algebra (see Talk:Simple_Lie_algebra for the reason why this page should start as a draft.)
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In algebra, a simple Lie algebra is a Lie algebra that (i) is not abelian and (ii) contains no nontrivial proper ideals. Chapter X of Jacobson (1962) considers a classification of simple Lie algebras over a field of characteristic zero. The classification of real simple Lie algebras is one of major achievements of Cartan.
Notes
See also
References
- Jacobson, Nathan, Lie algebras, Republication of the 1962 original. Dover Publications, Inc., New York, 1979. ISBN 0-486-63832-4