- representation differential
- дифференциал представления (группы)
English-russian dictionary of physics. 2013.
English-russian dictionary of physics. 2013.
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
Differential geometry — A triangle immersed in a saddle shape plane (a hyperbolic paraboloid), as well as two diverging ultraparallel lines. Differential geometry is a mathematical discipline that uses the techniques of differential and integral calculus, as well as… … Wikipedia
Differential of a function — For other uses of differential in mathematics, see differential (mathematics). In calculus, the differential represents the principal part of the change in a function y = ƒ(x) with respect to changes in the independent variable. The… … 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
Differential of the first kind — In mathematics, differential of the first kind is a traditional term used in the theories of Riemann surfaces (more generally, complex manifolds) and algebraic curves (more generally, algebraic geometry), for everywhere regular differential 1… … Wikipedia
Representation theory of diffeomorphism groups — In mathematics, a source for the representation theory of the group of diffeomorphisms of a smooth manifold M is the initial observation that (for M connected) that group acts transitively on M .HistoryA survey paper from 1975 of the subject by… … Wikipedia
Differential poset — In mathematics, a differential poset is a poset with operators D and U behaving like the operators x and d/dx on polynomials. In particular, DU UD=1. Differential posets were introduced by Stanley (1988). Young s lattice is an example of a… … Wikipedia
Spectral theory of ordinary differential equations — In mathematics, the spectral theory of ordinary differential equations is concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. In his dissertation Hermann Weyl… … Wikipedia
Pseudo-differential operator — In mathematical analysis a pseudo differential operator is an extension of the concept of differential operator. Pseudo differential operators are used extensively in the theory of partial differential equations and quantum field theory.… … Wikipedia
Pushforward (differential) — Suppose that phi; : M → N is a smooth map between smooth manifolds; then the differential of phi; at a point x is, in some sense, the best linear approximation of phi; near x . It can be viewed as generalization of the total derivative of… … Wikipedia
Pullback (differential geometry) — Suppose that φ : M → N is a smooth map between smooth manifolds M and N ; then there is an associated linear map from the space of 1 forms on N (the linear space of sections of the cotangent bundle) to the space of 1 forms on M . This linear map… … Wikipedia