Clifford algebra

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English

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Etymology

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Named after William Kingdon Clifford (1845–1879), an English mathematician and philosopher.

Noun

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Clifford algebra (plural Clifford algebras)

  1. (algebra, mathematical physics) A unital associative algebra which generalizes the algebra of quaternions but which is not necessarily a division algebra; it is generated by a set of (with i ranging from, say, 1 to n) such that the square of each is fixed to be either +1 or −1, depending on each i, and such that any product anticommutes when its factors are distinct (i.e., when ).

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