highest weight vector
11Cartan's theorem — In mathematics, there are two basic results in Lie group theory that go by the name Cartan s theorem. They are both named for Élie Cartan.:1. The theorem that for a Lie group G , any closed subgroup is a Lie subgroup.:2. A theorem on highest… …
12Primary field — In theoretical physics, a primary field is a field operator in quantum field theory especially conformal field theory or a theory with supersymmetry that is invariant under the positive frequency modes of the Virasoro algebra or under one half of …
13Conformal family — In theoretical physics, a conformal family is an irreducible representation of the Virasoro algebra. In most cases, it is uniquely determined by its primary field or a highest weight vector. The family contains all of its descendent fields.… …
14Virasoro 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 …
15Littelmann path model — In mathematics, the Littelmann path model is a combinatorial device due to Peter Littelmann for computing multiplicities without overcounting in the representation theory of symmetrisable Kac Moody algebras. Its most important application is to… …
16Weyl character formula — In mathematics, the Weyl character formula in representation theory describes the characters of irreducible representations of compact Lie groups in terms of their highest weights. It is named after Hermann Weyl, who proved it in the late… …
17Generalized flag variety — In mathematics, a generalized flag variety (or simply flag variety) is a homogeneous space whose points are flags in a finite dimensional vector space V over a field F. When F is the real or complex numbers, a generalized flag variety is a smooth …
18Crystal base — In algebra, a crystal base or canonical base is a base of a representation, such that generators of a quantum group or semisimple Lie algebra have a particularly simple action on it. Crystal bases were introduced by Kashiwara (1990) and… …
19Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… …
20Álgebra 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.… …
