- adjoint representation
- мат.сопряжённое представление
English-Russian scientific dictionary. 2008.
adjoint representation
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Adjoint representation — In mathematics, the adjoint representation (or adjoint action) of a Lie group G is the natural representation of G on its own Lie algebra. This representation is the linearized version of the action of G on itself by conjugation.Formal… … Wikipedia
Adjoint endomorphism — In mathematics, the adjoint endomorphism or adjoint action is an endomorphism of Lie algebras that plays a fundamental role in the development of the theory of Lie algebras and Lie groups.Given an element x of a Lie algebra mathfrak{g}, one… … Wikipedia
Adjoint bundle — In mathematics, an adjoint bundle is a vector bundle naturally associated to any principal bundle. The fibers of the adjoint bundle carry a Lie algebra structure making the adjoint bundle into an algebra bundle. Adjoint bundles has important… … Wikipedia
Adjoint — In mathematics, the term adjoint applies in several situations. Several of these share a similar formalism: if A is adjoint to B , then there is typically some formula of the type:( Ax , y ) = [ x , By ] .Specifically, adjoint may mean: *Adjoint… … Wikipedia
Representation of a Lie group — In mathematics and theoretical physics, the idea of a representation of a Lie group plays an important role in the study of continuous symmetry. A great deal is known about such representations, a basic tool in their study being the use of the… … Wikipedia
Adjoint functors — Adjunction redirects here. For the construction in field theory, see Adjunction (field theory). For the construction in topology, see Adjunction space. In mathematics, adjoint functors are pairs of functors which stand in a particular… … Wikipedia
Adjoint D'un Endomorphisme — Opérateur adjoint En mathématiques l adjoint d un opérateur, quand il existe, est un nouvel opérateur défini sur un espace vectoriel sur le corps des nombres réels ou complexes et munis d un produit scalaire. Un tel espace est qualifié de… … Wikipédia en Français
Adjoint d'un endomorphisme — Opérateur adjoint En mathématiques l adjoint d un opérateur, quand il existe, est un nouvel opérateur défini sur un espace vectoriel sur le corps des nombres réels ou complexes et munis d un produit scalaire. Un tel espace est qualifié de… … Wikipédia en Français
Representation theory of the Lorentz group — The Lorentz group of theoretical physics has a variety of representations, corresponding to particles with integer and half integer spins in quantum field theory. These representations are normally constructed out of spinors.The group may also be … Wikipedia
Representation of a Lie superalgebra — In the mathematical field of representation theory, a representation of a Lie superalgebra is an action of Lie superalgebra L on a Z2 graded vector space V , such that if A and B are any two pure elements of L and X and Y are any two pure… … Wikipedia
Lie algebra representation — Lie groups … Wikipedia
