parabolic subgroup

parabolic subgroup
мат. параболическая подгруппа

Большой англо-русский и русско-английский словарь. 2001.

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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

  • Borel subgroup — In the theory of algebraic groups, a Borel subgroup of an algebraic group G is a maximal Zariski closed and connected solvable algebraic subgroup. For example, in the group GLn (n x n invertible matrices), the subgroup of invertible upper… …   Wikipedia

  • Generalized flag variety — In mathematics, a generalized flag variety (or simply flag variety) is a homogeneous space whose points are flags in a finite dimensional vector space V over a field F. When F is the real or complex numbers, a generalized flag variety is a smooth …   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

  • Gelfand pair — In mathematics, the expression Gelfand pair refers to a pair ( G ,  K ) consisting of a group G and a subgroup K that satisfies a certain property on restricted representations.When G is a finite group the simplest definition is, roughly speaking …   Wikipedia

  • (B, N) pair — In mathematics, a ( B , N ) pair is a structure on groups of Lie typethat allows one to give uniform proofs of many results, instead of giving a large number ofcase by case proofs. Roughly speaking, it shows that all such groups are similar to… …   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

  • Triangular matrix — In the mathematical discipline of linear algebra, a triangular matrix is a special kind of square matrix where the entries either below or above the main diagonal are zero. Because matrix equations with triangular matrices are easier to solve… …   Wikipedia

  • Steinberg representation — In mathematics, the Steinberg representation, or Steinberg module, denoted by St , is a particular linear representation of a group of Lie type over a finite field of characteristic p , of degree equal to the largest power of p dividing the order …   Wikipedia


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