Clifford algebra in German

(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 \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 −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).