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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
Clifford-Algebra — Die Clifford Algebra (nach William Kingdon Clifford) ist ein mathematisches Konstrukt, das in der Differentialgeometrie sowie in der Quantenphysik Anwendung findet. Sie dient der Definition der Spin Gruppe und ihren Darstellungen, der… … Deutsch Wikipedia
Clifford analysis — Clifford analysis, using Clifford algebras named after William Kingdon Clifford, is the study of Dirac operators, and Dirac type operators in analysis and geometry, together with their applications. Examples of Dirac type operators include, but… … Wikipedia
Clifford — is both a given name and a surname of Old English origin that applies to a number of individuals or places. It simply means ford by a cliff .[1] Clifford was a common surname mainly in the 18th century but lost its prominence over the years.… … Wikipedia
Clifford-Zahlen — [ klɪfəd ; nach W. K. Clifford], die Elemente einer Algebra vom Rang 24 = 16 über dem Körper K der reellen oder komplexen Zahlen (Clifford Algebra). Darstellungen ihrer 16 Basiselemente sind z. B. die für die relativistische Quantentheorie… … Universal-Lexikon
Clifford — ist der Familienname folgender Personen: Betsy Clifford (* 1953), kanadische Skirennläuferin Buzz Clifford (* 1942), US amerikanischer Sänger Charles Clifford (1813–1893), neuseeländischer Politiker Clark M. Clifford (1906–1998), US… … Deutsch Wikipedia
Álgebra de Clifford — Las álgebras de Clifford son álgebras asociativas de importancia en matemáticas, en particular en teoría de la forma cuadrática y del grupo ortogonal y en la física. Se nombran así por William Kingdon Clifford. Definición formal Sea V un espacio… … Wikipedia Español
Clifford bundle — In mathematics, a Clifford bundle is an algebra bundle whose fibers have the structure of a Clifford algebra and whose local trivializations respect the algebra structure. There is a natural Clifford bundle associated to any (pseudo) Riemannian… … Wikipedia
Clifford module — In mathematics, a Clifford module is a representation of a Clifford algebra. In general a Clifford algebra C is a central simple algebra over some field extension L of the field K over which the quadratic form Q defining C is defined. The… … Wikipedia
Algebra of physical space — In physics, the algebra of physical space (APS) is the Clifford or geometric algebra Cl3 of the three dimensional Euclidean space, with emphasis in its paravector structure. The Clifford algebra Cl3 has a faithful representation, generated by… … Wikipedia
Algebra over a field — This article is about a particular kind of vector space. For other uses of the term algebra , see algebra (disambiguation). In mathematics, an algebra over a field is a vector space equipped with a bilinear vector product. That is to say, it is… … Wikipedia
