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We establish recurrences formulas of the order of the classical groups thatallow us to find a generalization of Euler's angles for classical groups andthe invariant measures of these groups. We find the generating function for theSU(2) subset of SU(3) basis in the Fock-Bargmann space and a new basis ofSU(3). This new basis is eigenfunction of the square of kinetic moment inproduct spaces of spherical harmonics. We generalize the generating function ofSU (2) and we find invariant polynomials of SU (3) which are elements of thebasis of SU (6). Using the above results we deduce the method of calculationisoscalar factors. We expose this method and we give the generating functionfor a particular case. Finally we determine the generating function of theelements of the representation matrix of SU(3) and we derive the analyticalexpression of these elements.

On the Euler angles for the classical groups, Schwinger approach and Isoscalar factors for SU (3)