- enveloping algebra
- матем. алгебра обертывающая
Большой англо-русский и русско-английский словарь. 2001.
enveloping algebra
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Enveloping algebra — in mathematics may refer to:* The universal enveloping algebra of a Lie algebra * The enveloping algebra of a general non associative algebra … Wikipedia
Universal enveloping algebra — In mathematics, for any Lie algebra L one can construct its universal enveloping algebra U ( L ). This construction passes from the non associative structure L to a (more familiar, and possibly easier to handle) unital associative algebra which… … Wikipedia
Algebra over a field — This article is about a particular kind of vector space. For other uses of the term algebra , see algebra (disambiguation). In mathematics, an algebra over a field is a vector space equipped with a bilinear vector product. That is to say, it is… … Wikipedia
Enveloping von Neumann algebra — In operator algebras, the enveloping von Neumann algebra of a C* algebra is an object that contains all the operator algebraic information about the given C* algebra. Definition Let A be a C* algebra and pi;U be its universal representation,… … Wikipedia
C*-algebra — C* algebras (pronounced C star ) are an important area of research in functional analysis, a branch of mathematics. The prototypical example of a C* algebra is a complex algebra A of linear operators on a complex Hilbert space with two additional … Wikipedia
Free Lie algebra — In mathematics, a free Lie algebra, over a given field K, is a Lie algebra generated by a set X, without any imposed relations. Contents 1 Definition 2 Universal enveloping algebra 3 Hall sets … 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
Symmetric algebra — In mathematics, the symmetric algebra S ( V ) (also denoted Sym ( V )) on a vector space V over a field K is the free commutative unital associative K algebra containing V .It corresponds to polynomials with indeterminates in V , without choosing … Wikipedia
Hopf algebra — In mathematics, a Hopf algebra, named after Heinz Hopf, is a structure that is simultaneously a (unital associative) algebra, a coalgebra, and has an antiautomorphism, with these structures compatible.Hopf algebras occur naturally in algebraic… … Wikipedia
Group algebra — This page discusses topological algebras associated to topological groups; for the purely algebraic case of discrete groups see group ring. In mathematics, the group algebra is any of various constructions to assign to a locally compact group an… … Wikipedia
Weyl algebra — In abstract algebra, the Weyl algebra is the ring of differential operators with polynomial coefficients (in one variable),: f n(X) partial X^n + cdots + f 1(X) partial X + f 0(X).More precisely, let F be a field, and let F [ X ] be the ring of… … Wikipedia
