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parabolic group

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  • Parabolic induction — In mathematics, parabolic induction is a method of constructing representations of a reductive group from representations of its parabolic subgroups. If G is a reductive algebraic group and P=MAN is the Langlands decomposition of a parabolic… …   Wikipedia

  • Parabolic geometry — In mathematics, the term parabolic geometry is used in the following meanings:* Euclidean geometry * More generally, a Riemannian manifold having zero scalar curvature (the word elliptic would indicate positive scalar curvature and the word… …   Wikipedia

  • Lorentz group — Group theory Group theory …   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

  • Mirabolic group — In mathematics, a mirabolic subgroup of the general linear group GLn(k), studied by Gelfand Kajdan (1975), is a subgroup consisting of automorphisms fixing a given non zero vector in kn. Its image in the projective general linear group is a… …   Wikipedia

  • List of group theory topics — Contents 1 Structures and operations 2 Basic properties of groups 2.1 Group homomorphisms 3 Basic types of groups …   Wikipedia

  • List of Lie group topics — This is a list of Lie group topics, by Wikipedia page. Examples See Table of Lie groups for a list *General linear group, special linear group **SL2(R) **SL2(C) *Unitary group, special unitary group **SU(2) **SU(3) *Orthogonal group, special… …   Wikipedia

  • Fuchsian group — In mathematics, a Fuchsian group is a particular type of group of isometries of the hyperbolic plane. A Fuchsian group is always a discrete group contained in the semisimple Lie group PSL(2,C). The name is given in honour of Immanuel Lazarus… …   Wikipedia

  • Maharishi Group — Type Non profit conglomerate Industry Ayurvedic remedies, education, solar, software, organic farming, clothing, granite, construction, aviation, and others Founded 1960s Founder(s) Maharishi Mahesh Yogi Headquarters …   Wikipedia

  • Lie group decomposition — In mathematics, Lie group decompositions are used to analyse the structure of Lie groups and associated objects, by showing how they are built up out of subgroups. They are essential technical tools in the representation theory of Lie groups and… …   Wikipedia

  • Möbius transformation — Not to be confused with Möbius transform or Möbius function. In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − …   Wikipedia

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