- simple Lie algebra
- Макаров: простая алгебра
Универсальный англо-русский словарь. Академик.ру. 2011.
simple Lie algebra
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Simple Lie group — Lie groups … Wikipedia
Lie algebra — In mathematics, a Lie algebra is an algebraic structure whose main use is in studying geometric objects such as Lie groups and differentiable manifolds. Lie algebras were introduced to study the concept of infinitesimal transformations. The term… … Wikipedia
Lie algebra bundle — In Mathematics, a weak Lie algebra bundle : xi=(xi, p, X, heta), is a vector bundle xi, over a base space X together with a morphism : heta : xi oplus xi ightarrow xi which induces a Lie algebra structure on each fibre xi x, .A Lie algebra bundle … Wikipedia
Lie algebra representation — Lie groups … Wikipedia
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
Semisimple Lie algebra — In mathematics, a Lie algebra is semisimple if it is a direct sum of simple Lie algebras, i.e., non abelian Lie algebras mathfrak g whose only ideals are {0} and mathfrak g itself. It is called reductive if it is the sum of a semisimple and an… … Wikipedia
En (Lie algebra) — In mathematics, especially in Lie theory, E n is the Kac–Moody algebra whose Dynkin diagram is a line of n 1 points with an extra point attached to the third point from the end. Finite dimensional Lie algebras*E3 is another name for the Lie… … Wikipedia
Compact Lie algebra — Lie groups … Wikipedia
List of simple Lie groups — In mathematics, the simple Lie groups were classified by Élie Cartan.The list of simple Lie groups can be used to read off the list of simple Lie algebras and Riemannian symmetric spaces. See also the table of Lie groups for a smaller list of… … Wikipedia
Monster Lie algebra — In mathematics, the monster Lie algebra is an infinite dimensional generalized Kac–Moody algebra acted on by the monster group, which was used to prove the monstrous moonshine conjectures. Structure The monster Lie algebra m is a Z2 graded Lie… … Wikipedia
Modular Lie algebra — In mathematics, a modular Lie algebra is a Lie algebra over a field of positive characteristic. The theory of modular Lie algebras is significantly different from the theory of real and complex Lie algebras. This difference can be traced to the… … Wikipedia
