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

In a continuation of previous work, we extend the general method of generating Clifford algebras based on a nonstandard 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 our method.