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adjoint vector

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  • Adjoint functors — Adjunction redirects here. For the construction in field theory, see Adjunction (field theory). For the construction in topology, see Adjunction space. In mathematics, adjoint functors are pairs of functors which stand in a particular… …   Wikipedia

  • Adjoint endomorphism — In mathematics, the adjoint endomorphism or adjoint action is an endomorphism of Lie algebras that plays a fundamental role in the development of the theory of Lie algebras and Lie groups.Given an element x of a Lie algebra mathfrak{g}, one… …   Wikipedia

  • Adjoint representation — In mathematics, the adjoint representation (or adjoint action) of a Lie group G is the natural representation of G on its own Lie algebra. This representation is the linearized version of the action of G on itself by conjugation.Formal… …   Wikipedia

  • Adjoint bundle — In mathematics, an adjoint bundle is a vector bundle naturally associated to any principal bundle. The fibers of the adjoint bundle carry a Lie algebra structure making the adjoint bundle into an algebra bundle. Adjoint bundles has important… …   Wikipedia

  • Self-adjoint operator — In mathematics, on a finite dimensional inner product space, a self adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose.… …   Wikipedia

  • Super vector space — In mathematics, a super vector space is another name for a Z2 graded vector space, that is, a vector space over a field K with a given decomposition:V=V 0oplus V 1.The study of super vector spaces and their generalizations is sometimes called… …   Wikipedia

  • Frame of a vector space — This article is about a generalization of bases to linearly dependent sets of vectors. For a linearly independent set of vectors, see k frame. In linear algebra, a frame of a vector space V with an inner product can be seen as a generalization of …   Wikipedia

  • Professeur Vector — Liste des personnages de l’univers de Harry Potter Cet article est une liste référençant les personnages de l univers de Harry Potter. Les personnages principaux peuvent être identifiés dans les articles suivants : Harry Potter Ron Weasley… …   Wikipédia en Français

  • Septima Vector — Liste des personnages de l’univers de Harry Potter Cet article est une liste référençant les personnages de l univers de Harry Potter. Les personnages principaux peuvent être identifiés dans les articles suivants : Harry Potter Ron Weasley… …   Wikipédia en Français

  • Conjugate transpose — Adjoint matrix redirects here. For the classical adjoint matrix, see Adjugate matrix. In mathematics, the conjugate transpose, Hermitian transpose, Hermitian conjugate, or adjoint matrix of an m by n matrix A with complex entries is the n by m… …   Wikipedia

  • Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia

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