Clifford algebra

== English == === Etymology === Named after William Kingdon Clifford (1845–1879), an English mathematician and philosopher. === Noun === Clifford algebra (plural Clifford algebras) (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 γ i {\displaystyle \gamma _{i}} (with i ranging from, say, 1 to n) such that the square of each γ i {\displaystyle \gamma _{i}} is fixed to be either +1 or −1, depending on each i, and such that any product γ i γ j {\displaystyle \gamma _{i}\gamma _{j}} anticommutes when its factors are distinct (i.e., when i ≠ j {\displaystyle i\neq j} ). ==== Hypernyms ==== filtered algebra ==== Translations ====