current algebra

  • 1Current algebra — is a mathematical framework in quantum field theory where the fields form a Lie algebra under their commutation relations. For instance, in a non Abelian Yang–Mills symmetry, where ρ is the charge density, where f are the structure constants of… …

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  • 2current algebra — current algebra, a form of algebra used in the study of charged elementary particles: »Current algebra involves a set of mathematical relations [in which] the term “current” refers to a current of some property of a particle in analogy with… …

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  • 3Algebra & Number Theory — (ISSN 1937 0652) is a peer reviewed mathematics journal published by the nonprofit organization Mathematical Sciences Publishers. [ [http://www.mathscipub.org/journals.html Mathematical Sciences Publishers journals] ] It was launched on January… …

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  • 4algebra — /al jeuh breuh/, n. 1. the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations. 2. any of… …

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  • 5Dirac equation in the algebra of physical space — v · Paravector algebra Applications in Physics …

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  • 6C*-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 …

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  • 7Geometric algebra — In mathematical physics, a geometric algebra is a multilinear algebra described technically as a Clifford algebra over a real vector space equipped with a non degenerate quadratic form. Informally, a geometric algebra is a Clifford algebra that… …

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  • 8Canonical form (Boolean algebra) — In Boolean algebra, any Boolean function can be expressed in a canonical form using the dual concepts of minterms and maxterms. Minterms are called products because they are the logical AND of a set of variables, and maxterms are called sums… …

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  • 9New algebra — The new algebra or symbolic analysis is a formalization of algebra promoted by François Viète in 1591 and by his successors (after 1603). It marks the beginning of the algebraic formalization (late sixteenth the early seventeenth centuries).… …

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  • 10N = 2 superconformal algebra — In mathematical physics, the N = 2 superconformal algebra is an infinite dimensional Lie superalgebra, related to supersymmetry, that occurs in string theory and conformal field theory. It has important applications in mirror symmetry.… …

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  • 11Super Virasoro algebra — In mathematical physics, a super Virasoro algebra is an extension of the Virasoro algebra to a Lie superalgebra. There are two extensions with particular importance in superstring theory: the Ramond algebra (named after Pierre Ramond) and the… …

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  • 12Axiom (computer algebra system) — Scratchpad redirects here. For scratchpad memory, see Scratchpad RAM. Axiom Developer(s) independent group of people Stable release September 2011 Operating system cross platform …

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  • 13B*-algebra — B* algebras are mathematical structures studied in functional analysis.General Banach * algebrasA Banach * algebra A is a Banach algebra over the field of complex numbers, together with a map * : A → A called involution which has the following… …

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  • 14Combinatorial commutative algebra — is a relatively new, rapidly developing mathematical discipline. As the name implies, it lies at the intersection of two more established fields, commutative algebra and combinatorics, and frequently uses methods of one to address problems… …

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  • 15Basis (linear algebra) — Basis vector redirects here. For basis vector in the context of crystals, see crystal structure. For a more general concept in physics, see frame of reference. In linear algebra, a basis is a set of linearly independent vectors that, in a linear… …

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  • 16Nakayama algebra — In algebra, a Nakayama algebra or generalized uniserial algebra is an algebra such that the left and right projective modules have a unique composition series (Reiten 1982, p. 39). They were studied by Tadasi Nakayama (1940) who called them… …

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  • 17Macaulay computer algebra system — Macaulay is a computer algebra system for doing polynomial computations, particularly Gröbner basis calculations. Macaulay is designed for solving problems in commutative algebra and algebraic geometry.It is named after F.S. Macaulay, who worked… …

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  • 18GAP computer algebra system — GAP (Groups, Algorithms and Programming) is a computer algebra system for computational discrete algebra with particular emphasis on, but not restricted to, computational group theory. GAP was developed at Lehrstuhl D für Mathematik (LDFM), RWTH… …

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  • 19Axiom computer algebra system — Infobox Software name = Axiom developer = Independent group of people operating system = Cross Platform genre = Computer Algebra System license = modified BSD License website = [http://axiom.axiom developer.org Axiom Home Page] Axiom is a free… …

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  • 20Minimal polynomial (linear algebra) — For the minimal polynomial of an algebraic element of a field, see Minimal polynomial (field theory). In linear algebra, the minimal polynomial μA of an n by n matrix A over a field F is the monic polynomial P over F of least degree such that… …

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