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homogeneous representation

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  • Homogeneous coordinates — In mathematics, homogeneous coordinates, introduced by August Ferdinand Möbius in his 1827 work Der barycentrische Calcul [ [http://www history.mcs.st andrews.ac.uk/Biographies/Mobius.html Mobius biography ] ] , allow affine transformations to be …   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 ring — In mathematics, especially in the area of algebra known as representation theory, the representation ring of a group is a ring formed from all the (isomorphism classes of the) linear representations of the group. For a given group, the ring will… …   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

  • 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

  • representation —    by John Marks    Representation , for Deleuze, entails an essentially moral view of the world, explicitly or implicitly drawing on what everybody knows , and he conceives of philosophy as an antidote to this view. Representation cannot help us …   The Deleuze dictionary

  • representation —    by John Marks    Representation , for Deleuze, entails an essentially moral view of the world, explicitly or implicitly drawing on what everybody knows , and he conceives of philosophy as an antidote to this view. Representation cannot help us …   The Deleuze dictionary

  • Complete homogeneous symmetric polynomial — In mathematics, specifically in algebraic combinatorics and commutative algebra, the complete homogeneous symmetric polynomials are a specific kind of symmetric polynomials. Every symmetric polynomial can be expressed as a polynomial expression… …   Wikipedia

  • Quasi-regular representation — In mathematics, quasi regular representation is a concept of representation theory, for a locally compact group G and a homogeneous space G H where H is a closed subgroup. In line with the concepts of regular representation and induced… …   Wikipedia

  • Coadjoint representation — In mathematics, the coadjoint representation ρ of a Lie group G is the dual of the adjoint representation. Therefore, if g denotes the Lie algebra of G, it is the action of G on the dual space to g. More geometrically, G acts by conjugation on… …   Wikipedia

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