ABSTRACT

Nevertheless, to refresh the reader's memory and to fix our terminology and notation, the authors provide here a brief review of Clifford algebra. To construct a Clifford algebra for let be an orthonormal basis for they introduce canonical generators (basis multivectors) of a Clifford algebra for by taking all the formal products, as basis vectors. In the remainder of this monograph, they will show how to embed the dual quaternions as subalgebras in 16-dimensional Clifford algebras for, where they can once again distinguish clearly between operators and operands. Therefore they say that subspaces of dimension k are dual to subspaces of dimension.