Classification of Clifford algebras

id: classification-of-clifford-algebras-174-12291041
title: Classification of Clifford algebras
text: In abstract algebra, in particular in the theory of nondegenerate quadratic forms on vector spaces, the finite-dimensional real and complex Clifford algebras for a nondegenerate quadratic form have been completely classified as rings. In each case, the Clifford algebra is algebra isomorphic to a full matrix ring over R, C, or H, or to a direct sum of two copies of such an algebra, though not in a canonical way. Below it is shown that distinct Clifford algebras may be algebra-isomorphic, as is th
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original url: https://en.wikipedia.org/wiki/Classification_of_Clifford_algebras
date created: 2004-10-26T15:38:05Z
date modified: 2024-09-02T21:43:49Z
main entity: {"identifier":"Q662523","url":"https://www.wikidata.org/entity/Q662523"}
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fields total: 13
integrity: 14

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