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Hermitian form

См. также в других словарях:

  • Hermitian manifold — In mathematics, a Hermitian manifold is the complex analog of a Riemannian manifold. Specifically, a Hermitian manifold is a complex manifold with a smoothly varying Hermitian inner product on each (holomorphic) tangent space. One can also define …   Wikipedia

  • Hermitian matrix — A Hermitian matrix (or self adjoint matrix) is a square matrix with complex entries which is equal to its own conjugate transpose mdash; that is, the element in the i th row and j th column is equal to the complex conjugate of the element in the… …   Wikipedia

  • Hermitian — A number of mathematical entities are named Hermitian, after the mathematician Charles Hermite:*Hermitian adjoint *Hermitian connection *Hermitian form *Hermitian function *Hermitian hat wavelet *Hermitian kernel *Hermitian manifold/structure… …   Wikipedia

  • Hermitian variety — Hermitian varieties are in a sense a generalisation of quadrics, and occur naturally in the theory of polarities.DefinitionLet K be a field with an involutive automorphism heta. Let n be an integer geq 1 and V be an (n+1) dimensional vectorspace… …   Wikipedia

  • Hermitian adjoint — In mathematics, specifically in functional analysis, each linear operator on a Hilbert space has a corresponding adjoint operator. Adjoints of operators generalize conjugate transposes of square matrices to (possibly) infinite dimensional… …   Wikipedia

  • Sesquilinear form — In mathematics, a sesquilinear form on a complex vector space V is a map V times; V rarr; C that is linear in one argument and antilinear in the other. The name originates from the numerical prefix meaning one and a half . Compare with a bilinear …   Wikipedia

  • Positive form — In complex geometry, the term positive form refers to several classes of real differential formsof Hodge type (p, p) . (1,1) forms Real ( p , p ) forms on a complex manifold M are forms which are of type ( p , p ) and real,that is, lie in the… …   Wikipedia

  • Bilinear form — In mathematics, a bilinear form on a vector space V is a bilinear mapping V × V → F , where F is the field of scalars. That is, a bilinear form is a function B : V × V → F which is linear in each argument separately::egin{array}{l} ext{1. }B(u + …   Wikipedia

  • Ε-quadratic form — In mathematics, specifically the theory of quadratic forms, an ε quadratic form is a generalization of quadratic forms to skew symmetric settings and to * rings; epsilon = pm 1, accordingly for symmetric or skew symmetric. They are also called (… …   Wikipedia

  • Riemann form — In mathematics, a Riemann form in the theory of abelian varieties and modular forms, is the following data:* A lattice Λ in a complex vector space Cg. * An alternating bilinear form α from Λ to the integers satisfying the following two conditions …   Wikipedia

  • Skew-Hermitian matrix — In linear algebra, a square matrix (or more generally, a linear transformation from a complex vector space with a sesquilinear norm to itself) A is said to be skew Hermitian or antihermitian if its conjugate transpose A * is also its negative.… …   Wikipedia

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