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spinor representation

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  • spinor representation — spinorinis vaizdavimas statusas T sritis fizika atitikmenys: angl. spinor representation vok. Spindarstellung, f; Spinordarstellung, f rus. спинорное представление, n pranc. représentation spinorielle, f …   Fizikos terminų žodynas

  • Spinor — In mathematics and physics, in particular in the theory of the orthogonal groups (such as the rotation or the Lorentz groups), spinors are elements of a complex vector space introduced to expand the notion of spatial vector. Unlike tensors, the… …   Wikipedia

  • Representation theory of the Lorentz group — The Lorentz group of theoretical physics has a variety of representations, corresponding to particles with integer and half integer spins in quantum field theory. These representations are normally constructed out of spinors.The group may also be …   Wikipedia

  • Spinor bundle — In mathematics and theoretical physics, spinors are certain geometric entities bound up with physical theories of spin , and the mathematics of Clifford algebras, that in a sense are kinds of twisted tensors. From a geometric point of view,… …   Wikipedia

  • représentation spinorielle — spinorinis vaizdavimas statusas T sritis fizika atitikmenys: angl. spinor representation vok. Spindarstellung, f; Spinordarstellung, f rus. спинорное представление, n pranc. représentation spinorielle, f …   Fizikos terminų žodynas

  • spinor — noun An element of the fundamental representation of a Clifford algebra …   Wiktionary

  • Dirac spinor — In quantum field theory, the Dirac spinor is the bispinor in the plane wave solution of the free Dirac equation, where (in the units ) is a relativistic spin 1/2 field …   Wikipedia

  • Spin representation — In mathematics, the spin representations are particular projective representations of the orthogonal or special orthogonal groups in arbitrary dimension and signature (i.e., including indefinite orthogonal groups). More precisely, they are… …   Wikipedia

  • Quaternionic representation — In mathematical field of representation theory, a quaternionic representation is a representation on a complex vector space V with an invariant quaternionic structure, i.e., an antilinear equivariant map:jcolon V o V, which satisfies:j^2=… …   Wikipedia

  • Pure spinor — In a field of mathematics known as representation theory pure spinors are spinor representations of the special orthogonal group that are annihilated by the largest possible subspace of the Clifford algebra. They were introduced by Elie Cartan in …   Wikipedia

  • Complex conjugate representation — In mathematics, if G is a group and ρ is a representation of it over the complex vector space V, then the complex conjugate representation ρ* is defined over the conjugate vector space V* as follows: ρ*(g) is the conjugate of ρ(g) for all g in G …   Wikipedia

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