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standard parabolic subgroup

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  • Langlands classification — In mathematics, the Langlands classification is a classification of irreducible representations of a reductive Lie group G , suggested by Robert Langlands (1973). More precisely, it classifies the irreducible admissible ( g , K ) modules,for g a… …   Wikipedia

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  • 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

  • Flag (linear algebra) — In mathematics, particularly in linear algebra, a flag is an increasing sequence of subspaces of a vector space V . Here increasing means each is a proper subspace of the next (see filtration)::{0} = V 0 sub V 1 sub V 2 sub cdots sub V k = V.If… …   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

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  • Hermitian symmetric space — In mathematics, a Hermitian symmetric space is a Kähler manifold M which, as a Riemannian manifold, is a Riemannian symmetric space. Equivalently, M is a Riemannian symmetric space with a parallel complex structure with respect to which the… …   Wikipedia

  • Orbifold — This terminology should not be blamed on me. It was obtained by a democratic process in my course of 1976 77. An orbifold is something with many folds; unfortunately, the word “manifold” already has a different definition. I tried “foldamani”,… …   Wikipedia

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