Extensions of the general method of generating Clifford algebras and comparisons with various existing methods (Q915827)

The paper extends the general method of generating Clifford algebras based on a non-standard intermediate step in the direct product procedure. This greatly simplifies the construction of the hierarchies of even- and odd-order Clifford algebras and facilitates comparison with other generating methods. Four other methods are compared. Various representations of Dirac matrices are derived in a unified way following this method.