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...
12 KB (1,835 words) - 03:04, 10 June 2024
second fundamental form), differential topology (intersection forms of manifolds, especially four-manifolds), Lie theory (the Killing form), and statistics...
33 KB (4,554 words) - 17:42, 31 May 2024
Look up killing in Wiktionary, the free dictionary. Killing, Killings, or The Killing may refer to: -cide, a suffix that refers to types of killing (see...
2 KB (290 words) - 05:00, 11 August 2024
In mathematics, a Killing vector field (often called a Killing field), named after Wilhelm Killing, is a vector field on a Riemannian manifold (or pseudo-Riemannian...
27 KB (4,720 words) - 21:59, 3 August 2024
are equivalent: g {\displaystyle {\mathfrak {g}}} is semisimple; the Killing form, κ(x,y) = tr(ad(x)ad(y)), is non-degenerate; g {\displaystyle {\mathfrak...
41 KB (5,731 words) - 17:17, 10 April 2024
Affine Lie algebra (section Killing form)
⋅ | ⋅ ⟩ {\displaystyle \langle \cdot |\cdot \rangle } is the Cartan-Killing form on g . {\displaystyle {\mathfrak {g}}.} The affine Lie algebra corresponding...
15 KB (2,467 words) - 14:01, 6 August 2024
Contract killing (also known as murder-for-hire) is a form of murder or assassination in which one party hires another party to kill a targeted person...
22 KB (2,474 words) - 03:36, 3 September 2024
its Killing form is negative definite (making it a compact Lie algebra), and that the complexification of u0 is g. Therefore, u0 is a compact form of g...
6 KB (818 words) - 14:46, 20 June 2023
(\operatorname {ad} X\circ \operatorname {ad} Y)} is the Killing form. The minus sign appears because the Killing form is negative-definite on h ; {\displaystyle...
45 KB (4,599 words) - 15:11, 4 July 2024
A Higher Form of Killing is the second studio album by the metal band, Intruder. It marks their departure from the speed metal sound displayed on their...
3 KB (255 words) - 18:23, 9 January 2021