Clifford algebra

English Etymology Named after William Kingdon Clifford (1845–1879), an English mathematician and philosopher. Noun en 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 ). Hypernyms en filtered algebra Translations unital associative algebra which generalizes the algebra of quaternions Chinese: Mandarin: cmn 克利福德代数 Kèlìfúdé dàishù French: fr algèbre de Clifford f German: de Clifford-Algebra f Italian: it algebra di Clifford f Japanese: ja クリフォード代数 Kurifōdo-daisū Korean: ko ^클리퍼드 대수 Portuguese: pt álgebra de Clifford f Russian: ru алгебра Клиффорда f Spanish: es álgebra de Clifford