- unitary representation
- мат. унитарное представление
Большой англо-русский и русско-английский словарь. 2001.
unitary representation
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Unitary representation — In mathematics, a unitary representation of a group G is a linear representation π of G on a complex Hilbert space V such that π( g ) is a unitary operator for every g ∈ G . The general theory is well developed in case G is a locally compact… … Wikipedia
unitary representation — unitarinis atvaizdavimas statusas T sritis fizika atitikmenys: angl. unitary representation vok. unitäre Darstellung, f rus. унитарное представление, n pranc. représentation unitaire, f … Fizikos terminų žodynas
Unitary — may refer to:* In automotive design, unitary construction is another common term for a unibody or monocoque construction * In Christian doctrine, unitarianism is the belief in a unitary God as opposed to the concept of the Trinity. ** Unitarian… … Wikipedia
Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… … Wikipedia
Representation theory of SL2(R) — In mathematics, the main results concerning irreducible unitary representations of the Lie group SL2(R) are due to Gelfand and Naimark (1946), V. Bargmann (1947), and Harish Chandra (1952). Structure of the complexified Lie algebra We choose a… … Wikipedia
Representation theory of finite groups — In mathematics, representation theory is a technique for analyzing abstract groups in terms of groups of linear transformations. See the article on group representations for an introduction. This article discusses the representation theory of… … Wikipedia
Representation theory of the Galilean group — In nonrelativistic quantum mechanics, an account can be given of the existence of mass and spin as follows:The spacetime symmetry group of nonrelativistic quantum mechanics is the Galilean group. In 3+1 dimensions, this is the subgroup of the… … 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
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
Representation theory of the Poincaré group — In mathematics, the representation theory of the double cover of the Poincaré group is an example of the theory for a Lie group, in a case that is neither a compact group nor a semisimple group. It is important in relation with theoretical… … Wikipedia
Représentation de groupe — En mathématiques, l idée générale de la théorie des représentations est d étudier un groupe G en le faisant agir sur un espace vectoriel V de manière linéaire : on essaie ainsi de voir G comme un groupe de matrices (d où le terme… … Wikipédia en Français
