Kac-Moody algebra

См. также в других словарях:

• Kac–Moody algebra — In mathematics, a Kac–Moody algebra is a Lie algebra, usually infinite dimensional, that can be defined by generators and relations through a generalized Cartan matrix. Kac–Moody algebras are named after Victor Kac and Robert Moody, who… …   Wikipedia

• Generalized Kac–Moody algebra — In mathematics, a generalized Kac–Moody algebra is a Lie algebra that is similar to a Kac–Moody algebra, except that it is allowed to have imaginary simple roots. Generalized Kac–Moody algebras are also sometimes called GKM… …   Wikipedia

• Algebre de Kac-Moody — Algèbre de Kac Moody En mathématiques, une algèbre de Kac Moody est une algèbre de Lie, généralement de dimension infinie, pouvant être définie par des générateurs et des relations via une matrice de Cartan généralisée. Les algèbres de Kac Moody… …   Wikipédia en Français

• Algèbre de Kac-Moody — Pour les articles homonymes, voir Algèbre (homonymie). En mathématiques, une algèbre de Kac Moody est une algèbre de Lie, généralement de dimension infinie, pouvant être définie par des générateurs et des relations via une matrice de Cartan… …   Wikipédia en Français

• Álgebra de Virasoro — El álgebra de Virasoro es una forma de álgebra de Lie compleja, dada como extensión central del campo vectorial de los polinomios complejos sobre la circunferencia unitaria; esta álgebra toma su nombre del físico argentino Miguel Ángel Virasoro.… …   Wikipedia Español

• En (Lie algebra) — In mathematics, especially in Lie theory, E n is the Kac–Moody algebra whose Dynkin diagram is a line of n 1 points with an extra point attached to the third point from the end. Finite dimensional Lie algebras*E3 is another name for the Lie… …   Wikipedia

• Affine Lie algebra — In mathematics, an affine Lie algebra is an infinite dimensional Lie algebra that is constructed in a canonical fashion out of a finite dimensional simple Lie algebra. It is a Kac–Moody algebra whose generalized Cartan matrix is positive semi… …   Wikipedia

• N = 2 superconformal algebra — In mathematical physics, the N = 2 superconformal algebra is an infinite dimensional Lie superalgebra, related to supersymmetry, that occurs in string theory and conformal field theory. It has important applications in mirror symmetry.… …   Wikipedia

• Virasoro algebra — In mathematics, the Virasoro algebra (named after the physicist Miguel Angel Virasoro) is a complex Lie algebra, given as a central extension of the complex polynomial vector fields on the circle, and is widely used in string theory.DefinitionThe …   Wikipedia

• Monster Lie algebra — In mathematics, the monster Lie algebra is an infinite dimensional generalized Kac–Moody algebra acted on by the monster group, which was used to prove the monstrous moonshine conjectures. Structure The monster Lie algebra m is a Z2 graded Lie… …   Wikipedia

• Monster vertex algebra — The monster vertex algebra is a vertex algebra acted on by the monster group that was constructed by Igor Frenkel, James Lepowsky, and Arne Meurman. R. Borcherds used it to prove the monstrous moonshine conjectures, by applying the no ghost… …   Wikipedia