Reduction of the Kronecker products for rotation groups

Methods have been developed for analyzing the reduction of the Kronecker products for orthogonal and rotation groups using the S-function methods of D. E. Littlewood. The properties of the spin representations are discussed in some detail and the method of difference characters used in the case of the even-dimensional rotation groups. These methods are amenable to computer calculation and a special programme has been written. A method is given for calculating the branching rules for spin representations under Rn → R3.