Clifford algebra

Etymology
Named after (1845–1879), an English mathematician and philosopher.

Noun

 * 1)  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 $$\gamma_i$$ (with i ranging from, say, 1 to n) such that the square of each $$\gamma_i$$ is fixed to be either +1 or &minus;1, depending on each i, and such that any product $$\gamma_i \gamma_j$$ anticommutes when its factors are distinct (i.e., when $$i \ne j$$).

Translations

 * Chinese:
 * Mandarin: 克利福德代数
 * French: algèbre de Clifford
 * German: Clifford-Algebra
 * Italian: algebra di Clifford
 * Japanese: クリフォード代数
 * Korean: ^클리퍼드 대수
 * Portuguese: álgebra de Clifford
 * Russian: алгебра Клиффорда
 * Spanish: álgebra de Clifford