Representation Functions of the Group of Motions of Clifford Space

Journal of Mathematical Physics, Vol. 8, No. 1, Jan. 1967

We find the representation functions of the group of motions of the three-dimensional Clifford space and of the three-dimensional Einstein space. These functions are generalizations of spherical and cylindrical waves of three-dimensional Euclidian space and reduce to these familiar functions in the Euclidian limit. The generalizaion of the plane wave is also found.