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# affine representation

мат.
аффинное представление

English-Russian scientific dictionary. 2008.

### Смотреть что такое "affine representation" в других словарях:

• Affine representation — An affine representation of a topological (Lie) group G on an affine space A is a continuous (smooth) group homomorphism from G to the automorphism group of A , the affine group Aff( A ). Similarly, an affine representation of a Lie algebra g on… …   Wikipedia

• Affine — may refer to:*Affine cipher, a special case of the more general substitution cipher *Affine combination, a certain kind of constrained linear combination *Affine connection, a connection on the tangent bundle of a differentiable manifold *Affine… …   Wikipedia

• Affine arithmetic — (AA) is a model for self validated numerical analysis. In AA, the quantities of interest are represented as affine combinations (affine forms) of certain primitive variables, which stand for sources of uncertainty in the data or approximations… …   Wikipedia

• Affine geometry — is a form of geometry featuring the unique parallel line property (see the parallel postulate) but where the notion of angle is undefined and lengths cannot be compared in different directions (that is, Euclid s third and fourth postulates are… …   Wikipedia

• Affine quantum group — is a common name of several objects in representation theory, which include Yangians and quantized universal enveloping algebras of affine Kac Moody Lie algebras (quantized affine algebras).Affine quantum groups were introduced by Vladimir… …   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

• Affine group — In mathematics, the affine group or general affine group of any affine space over a field K is the group of all invertible affine transformations from the space into itself.It is a Lie group if K is the real or complex field or… …   Wikipedia

• Affine transformation — In geometry, an affine transformation or affine map or an affinity (from the Latin, affinis , connected with ) between two vector spaces (strictly speaking, two affine spaces) consists of a linear transformation followed by a translation::x… …   Wikipedia

• Affine Lie algebra — In mathematics, an affine Lie algebra is an infinite dimensional Lie algebra that is constructed in a canonical fashion out of a finite dimensional simple Lie algebra. It is a Kac–Moody algebra whose generalized Cartan matrix is positive semi… …   Wikipedia

• Affine connection — An affine connection on the sphere rolls the affine tangent plane from one point to another. As it does so, the point of contact traces out a curve in the plane: the development. In the branch of mathematics called differential geometry, an… …   Wikipedia

• Affine focal set — In mathematics, and especially affine differential geometry, the affine focal set of a smooth submanifold M embedded in a smooth manifold N is the caustic generated by the affine normal lines. It can be realised as the bifurcation set of a… …   Wikipedia

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