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enveloping space

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  • 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

  • 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

  • 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

  • Quantum group — In mathematics and theoretical physics, quantum groups are certain noncommutative algebras that first appeared in the theory of quantum integrable systems, and which were then formalized by Vladimir Drinfel d and Michio Jimbo. There is no single …   Wikipedia

  • Verma module — Verma modules, named after Daya Nand Verma, are objects in the representation theory of Lie algebras, a branch of mathematics. The definition of a Verma module looks complicated, but Verma modules are very natural objects, with useful properties …   Wikipedia

  • Casimir invariant — In mathematics, a Casimir invariant or Casimir operator is a distinguished element of the centre of the universal enveloping algebra of a Lie algebra. A prototypical example is the squared angular momentum operator, which is a Casimir invariant… …   Wikipedia

  • sheath — 1. Any enveloping structure, such as the membranous covering of a muscle, nerve, or blood vessel. Any sheathlike structure. SYN: vagina (1). 2. The prepuce of male animals, especially of the horse. 3. A specially designed tu …   Medical dictionary

  • 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

  • Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… …   Wikipedia

  • List of Gurren Lagann mecha — Gunmen (ガンメン, Ganmen?) are the main type of mecha used in the anime series Tengen Toppa Gurren Lagann. The name itself means face/facade (顔面 ガンメン Face Surface); unsurprisingly, the mecha themselves are centered around faces and as such are very… …   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

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