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

Famous quotes containing the words killing and/or form:

    His mind resembled the vast amphitheatre, the Colisæum at Rome. In the centre stood his judgement, which, like a mighty gladiator, combated those apprehensions that, like the wild beasts of the Arena, were all around the cells, ready to be let out upon him. After a conflict, he drove them back into their dens; but not killing them, they were still assailing him.
    James Boswell (1740–1795)

    After all, what is reading but a vice, like drink or venery or any other form of excessive self-indulgence? One reads to tickle and amuse one’s mind; one reads, above all, to prevent oneself thinking.
    Aldous Huxley (1894–1963)