noncompact algebra

noncompact algebra
мат. некомпактная алгебра

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

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  • Affine Lie algebra — In mathematics, an affine Lie algebra is an infinite dimensional Lie algebra that is constructed in a canonical fashion out of a finite dimensional simple Lie algebra. It is a Kac–Moody algebra whose generalized Cartan matrix is positive semi… …   Wikipedia

  • Orthogonal symmetric Lie algebra — In mathematics, an orthogonal symmetric Lie algebra is a pair consisting of a real Lie algebra and an automorphism s of of order 2 such that the eigenspace of s corrsponding to 1 (i.e., the set of fixed points) is a compact subalgebra. If compa …   Wikipedia

  • Dynkin diagram — See also: Coxeter–Dynkin diagram Finite Dynkin diagrams Affine (extended) Dynkin diagrams …   Wikipedia

  • Triple system — In algebra, a triple system is a vector space V over a field F together with a F trilinear map: (cdot,cdot,cdot) colon V imes V imes V o V.The most important examples are Lie triple systems and Jordan triple systems. They were introduced by… …   Wikipedia

  • Lie group — Lie groups …   Wikipedia

  • Killing form — In mathematics, the Killing form, named after Wilhelm Killing, is a symmetric bilinear form that plays a basic role in the theories of Lie groups and Lie algebras. In an example of Stigler s law of eponymy, the Killing form was actually invented… …   Wikipedia

  • Wess-Zumino-Witten model — In theoretical physics and mathematics, the Wess Zumino Witten (WZW) model, also called the Wess Zumino Novikov Witten model, is a simple model of conformal field theory whose solutions are realized by affine Kac Moody algebras. It is named after …   Wikipedia

  • Lorentz invariance in loop quantum gravity — Loop quantum gravity (LQG) is a quantization of a classical Lagrangian field theory. It is equivalent to the usual Einstein Cartan theory in that it leads to the same equations of motion describing general relativity with torsion. As such, it can …   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

  • Coxeter–Dynkin diagram — See also: Dynkin diagram Coxeter Dynkin diagrams for the fundamental finite Coxeter groups …   Wikipedia

  • Symmetric space — In differential geometry, representation theory and harmonic analysis, a symmetric space is a smooth manifold whose group of symmetries contains an inversion symmetry about every point. There are two ways to make this precise. In Riemannian… …   Wikipedia


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