Let be an -D linear Space over a Field , and let be a Quadratic Form on . A Clifford algebra is then defined over the , where is the tensor algebra over and is a particular Ideal of .
References
Iyanaga, S. and Kawada, Y. (Eds.). ``Clifford Algebras.'' §64 in
Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, pp. 220-222, 1980.
Lounesto, P. ``Counterexamples to Theorems Published and Proved in Recent Literature on Clifford Algebras, Spinors,
Spin Groups, and the Exterior Algebra.''
http://www.hit.fi/~lounesto/counterexamples.htm.