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non-unitary representation

См. также в других словарях:

  • 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

  • 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 — 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 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

  • Non-commutative harmonic analysis — In mathematics, non commutative harmonic analysis is the field in which results from Fourier analysis are extended to topological groups which are not commutative. Since for locally compact abelian groups have a well understood theory, Pontryagin …   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

  • Non-abelian gauge transformation — In theoretical physics, a non abelian gauge transformation means a gauge transformation taking values in some group G, the elements of which do not obey the commutative law when they are multiplied. The original choice of G in the physics of… …   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

  • Représentation régulière — En mathématiques et plus précisément en théorie des groupes, les représentations régulières (gauche et droite) d un groupe G sont les représentations de G associées aux deux actions (à gauche et à droite) de G sur lui même par translation. Si G… …   Wikipédia en Français

  • Non-critical string theory: Lorentz invariance — Usually non critical string theory is considered in frames of the approach proposed by Polyakov [1]. The other approach has been developed in [2] [3] [4]. It represents a universal method to maintain explicit Lorentz invariance in any quantum… …   Wikipedia

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