EXPLICIT ORTHONORMAL CLEBSCH-GORDAN-COEFFICIENTS OF SU(3)

The construction of the explicit algebraic-polynomial expressions for the nonmultiplicity-free orthonormal Clebsch-Gordan (Wigner) coefficients of SU(3)⊃U(2) is completed in the case of the paracanonical coupling scheme related with the explicit minimal biorthogonal systems by means of the Hecht or Gram-Schmidt process. The direct and inverse orthogonalization coefficients (the first of them being equivalent to the boundary orthonormal isofactors) are expressed, up to explicitly given multiplicative factors, in terms of the numerator and denominator polynomials related with the auxiliary Aλfunction of Louck, Biedenharn, and Lohe that appears as a fragment of the denominator G-functions of canonical SU(3) tensor operators. © 1990 American Institute of Physics.