Since the above relationship is not homogeneous in the usual -grading on , does not inherit a -grading. However, by reducing mod 2, we also have a -grading on , and the relations above are homogeneous with respect to this, so has a natural -grading, which makes it into a superalgebra.
The most commonly used Clifford algebra is the case , and is the standard inner product with orthonormal basis . In this case, the algebra is generated by and the identity of the algebra , with the relations
On the other ha nd, for we get the particularly answer of
|Date of creation||2013-03-22 13:18:05|
|Last modified on||2013-03-22 13:18:05|
|Last modified by||rmilson (146)|