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:

    Lord, thy most pointed pleasure take
    And stab my spirit broad awake;
    Or, Lord, if too obdurate I,
    Choose thou, before that spirit die,
    A piercing pain, a killing sin,
    And to my dead heart run them in!
    Robert Louis Stevenson (1850–1894)

    To do the opposite of something is also a form of imitation, namely an imitation of its opposite.
    —G.C. (Georg Christoph)