SU3 ISOSCALAR FACTORS

A summary of the properties of the Wigner-Clebsch-Gordan coefficients and isoscalar factors for the group SU3 in the SU2xU1 decomposition is presented. The outer degeneracy problem is discussed in detail with a proof of a conjecture (Braunschweig's) which has been the basis of pr evious work on the SU3 coupling coefficients. Recursion relations obey ed by the SU3 isoscalar factors are produced, along with an algorithm which allows numerical determination of the factors from the recursion relations. The algorithm produces isoscalar factors which share all t he symmetry properties under permutation of states and conjugation whi ch are familiar from the SU2 case. The full set of symmetry properties for the SU3 Wigner-Clebsch-Gordan coefficients and isoscalar factors are displayed. (C) 1996 American Institute of Physics.