About: Generalized Clifford algebra

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In mathematics, a Generalized Clifford algebra (GCA) is a unital associative algebra that generalizes the Clifford algebra, and goes back to the work of Hermann Weyl, who utilized and formalized these clock-and-shift operators introduced by J. J. Sylvester (1882), and organized by Cartan (1898) and Schwinger. Clock and shift matrices find routine applications in numerous areas of mathematical physics, providing the cornerstone of quantum mechanical dynamics in finite-dimensional vector spaces. The concept of a spinor can further be linked to these algebras.

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rdfs:label	Generalized Clifford algebra (en)
rdfs:comment	In mathematics, a Generalized Clifford algebra (GCA) is a unital associative algebra that generalizes the Clifford algebra, and goes back to the work of Hermann Weyl, who utilized and formalized these clock-and-shift operators introduced by J. J. Sylvester (1882), and organized by Cartan (1898) and Schwinger. Clock and shift matrices find routine applications in numerous areas of mathematical physics, providing the cornerstone of quantum mechanical dynamics in finite-dimensional vector spaces. The concept of a spinor can further be linked to these algebras. (en)
dct:subject	Clifford algebras Algebras Quadratic forms Ring theory Mathematical physics
Wikipage page ID	34918164 (xsd:integer)
Wikipage revision ID	1122225259 (xsd:integer)
Link from a Wikipage to another Wikipage	Clifford algebras Julian Schwinger Pauli matrices DFT matrix Permutation matrices Algebras Quadratic forms Ring theory Mathematics Clifford algebra Generalizations of Pauli matrices Greatest common divisor Stone–von Neumann theorem Élie Cartan Hermann Weyl James Joseph Sylvester Mathematical physics Discrete Fourier transform Associative algebra Spinor Circulant matrix Circular shift Shift matrix
sameAs	Generalized Clifford algebra Generalized Clifford algebra Generalized Clifford algebra Generalized Clifford algebra
dbp:wikiPageUsesTemplate	dbt:= dbt:About dbt:Cite_arXiv dbt:Cite_journal dbt:Main_article dbt:Math dbt:Mvar dbt:Reflist
has abstract	In mathematics, a Generalized Clifford algebra (GCA) is a unital associative algebra that generalizes the Clifford algebra, and goes back to the work of Hermann Weyl, who utilized and formalized these clock-and-shift operators introduced by J. J. Sylvester (1882), and organized by Cartan (1898) and Schwinger. Clock and shift matrices find routine applications in numerous areas of mathematical physics, providing the cornerstone of quantum mechanical dynamics in finite-dimensional vector spaces. The concept of a spinor can further be linked to these algebras. The term Generalized Clifford Algebras can also refer to associative algebras that are constructed using forms of higher degree instead of quadratic forms. (en)
gold:hypernym	Algebra
prov:wasDerivedFrom	wikipedia-en:Generalized_Clifford_algebra?oldid=1122225259&ns=0
page length (characters) of wiki page	13526 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Generalized_Clifford_algebra
is rdfs:seeAlso of	Generalizations of Pauli matrices
is Link from a Wikipage to another Wikipage of	GCA Clifford algebra Generalizations of Pauli matrices Clock and shift matrices
is Wikipage redirect of	Clock and shift matrices
is Wikipage disambiguates of	GCA
is foaf:primaryTopic of	wikipedia-en:Generalized_Clifford_algebra

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