Clebsch-Gordan coefficients for the group SU(3)xSU(3)

Some useful Clebsch-Gordan coefficients for SU(3)xSU(3) are presented. They were calculated according to an equation, from which the unitary scalar factors were defined analogously by removing a matrix involving μ and ν of the SU(3) G.C. In these calculations, the phase convention was taken. The phase factors were computed in the following three cases, namely exchanging the order, taking the conjugate representations, and exchanging ''right'' and ''left''. The tables containing the unitary scalar factors for the direct products of I.R. of SU(3)xSU(3), the phase factors, and some necessary xi's are given. (Kako, I.)