n-dimensional spinor
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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
spinor — ˈspinər, ˌnȯ(ə)r noun ( s) Etymology: spin (I) + or : a quantity that resembles a vector with complex components in two or four dimensional space with complex coordinates and that is used especially in the mathematics of the theory of relativity … Useful english dictionary
spinor — noun Etymology: International Scientific Vocabulary spin + or (as in vector) Date: 1931 a vector whose components are complex numbers in a two dimensional or four dimensional space and which is used especially in the mathematics of the theory of… … New Collegiate Dictionary
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
Dirac-Spinor — Unter einem Dirac Spinor (nach Paul Dirac) versteht man ein Element der fundamentalen Darstellung Δ der komplexifizierten Clifford Algebra Cliff(p,q). Diese Darstellung existiert für alle Signaturen p,q und ist in 2n bzw. 2n + 1 Dimensionen… … Deutsch Wikipedia
R-parity — is a concept in particle physics. In the supersymmetric extension of the Standard Model, baryon number and lepton number are no longer conserved by all of the renormalizable couplings in the theory. Since baryon number and lepton number… … Wikipedia
G2 manifold — A G 2 manifold is a seven dimensional Riemannian manifold with holonomy group G 2. The group G 2 is one of the five exceptional simple Lie groups. It can be described as the automorphism group of the octonions, or equivalently, as a proper… … Wikipedia
Supergravity — In theoretical physics, supergravity (supergravity theory) is a field theory that combines the principles of supersymmetry and general relativity. Together, these imply that, in supergravity, the supersymmetry is a local symmetry (in contrast to… … Wikipedia
Clifford algebra — In mathematics, Clifford algebras are a type of associative algebra. They can be thought of as one of the possible generalizations of the complex numbers and quaternions.[1][2] The theory of Clifford algebras is intimately connected with the… … Wikipedia
Generalized complex structure — In the field of mathematics known as differential geometry, a generalized complex structure is a property of a differential manifold that includes as special cases a complex structure and a symplectic structure. Generalized complex structures… … Wikipedia
Orthogonal group — Group theory Group theory … Wikipedia