Clifford algebra en · NOUN
Etymology
Named after William Kingdon Clifford (1845–1879), an English mathematician and philosopher.
Meanings
- (qualifier: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 γᵢ (with i ranging from, say, 1 to n) such that the square of each γᵢ is fixed to be either +1 or −1, depending on each i, and such that any product γᵢγⱼ anticommutes when its factors are distinct (i.e., when i ne j).
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| Clifford algebras | Number=Plur | lexicographic |
Hypernyms
Translations (9)
it algebra di Clifford (unital associative algebra which generalizes the algebra of quaternions) · ru алгебра Клиффорда (unital associative algebra which generalizes the algebra of quaternions) · pt álgebra de Clifford (unital associative algebra which generalizes the algebra of quaternions) · es álgebra de Clifford (unital associative algebra which generalizes the algebra of quaternions) · cmn 克利福德代数 (unital associative algebra which generalizes the algebra of quaternions) · fr algèbre de Clifford (unital associative algebra which generalizes the algebra of quaternions) · ja クリフォード代数 (unital associative algebra which generalizes the algebra of quaternions) · de Clifford-Algebra (unital associative algebra which generalizes the algebra of quaternions) · ko 클리퍼드 대수 (unital associative algebra which generalizes the algebra of quaternions)