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conformal group

См. также в других словарях:

  • Conformal group — In mathematics, the conformal group is the group of transformations from a space to itself that preserve all angles within the space. More formally, it is the group of transformations that preserve the conformal geometry of the space. Several… …   Wikipedia

  • Conformal geometry — In mathematics, conformal geometry is the study of the set of angle preserving (conformal) transformations on a space. In two real dimensions, conformal geometry is precisely the geometry of Riemann surfaces. In more than two dimensions,… …   Wikipedia

  • Conformal field theory — A conformal field theory (CFT) is a quantum field theory (or statistical mechanics model at the critical point) that is invariant under conformal transformations. Conformal field theory is often studied in two dimensions where there is an… …   Wikipedia

  • Conformal symmetry — In theoretical physics, conformal symmetry is a symmetry under dilatation (scale invariance) and under the special conformal transformations. Together with the Poincaré group these generate the conformal symmetry group. The conformal group has… …   Wikipedia

  • Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines …   Wikipedia

  • Conformal anomaly — is an anomaly i.e. a quantum phenomenon that breaks the conformal symmetry of the classical theory. A classically conformal theory is a theory which, when placed on a surface with arbitrary background metric, has an action that is invariant under …   Wikipedia

  • Group theory — is a mathematical discipline, the part of abstract algebra that studies the algebraic structures known as groups. The development of group theory sprang from three main sources: number theory, theory of algebraic equations, and geometry. The… …   Wikipedia

  • Orthogonal group — Group theory Group theory …   Wikipedia

  • Conformal map — For other uses, see Conformal (disambiguation). A rectangular grid (top) and its image under a conformal map f (bottom). It is seen that f maps pairs of lines intersecting at 90° to pairs of curves still intersecting at 90°. In mathematics, a… …   Wikipedia

  • Lorentz group — Group theory Group theory …   Wikipedia

  • Conformal connection — In conformal differential geometry, a conformal connection is a Cartan connection on an n dimensional manifold M arising as a deformation of the Klein geometry given by the celestial n sphere, viewed as the homogeneous space O+(n+1,1)/P where P… …   Wikipedia

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