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. The Killing form was essentially introduced into Lie algebra theory by Élie Cartan (1894) in his thesis; although Killing had previously made a passing mention of it he made no serious use of it.

Read more about Killing Form:  Definition, Properties, Matrix Elements, Connection With Real Forms

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