Killing form

In mathematics, the Killing form, named after Wilhelm Killing, is a symmetric bilinear form that plays a basic role in the theories of Lie groups and Lie algebras. Cartan's criteria (criterion of solvability and criterion of semisimplicity) show that Killing form has a close relationship to the semisimplicity of the Lie algebras.

Lie groups and Lie algebras
Classical groups
Simple Lie groups
Classical
Exceptional
Other Lie groups
Lie algebras
Semisimple Lie algebra
Representation theory
Lie groups in physics
Scientists
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