Clifford algebra

English

Etymology

Named after Template:W (1845–1879), an English mathematician and philosopher.

Noun

1. Template:Lb 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 $i\ne j$).

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