  In this paper we present the generating function method for the derivation of
bosons polynomials of Gel'fand basis and Wigner coefficients for the canonical
basis of SU(n). We find a new analytic polynomial basis of SU(4) with the exact
number of summations, five only. We find also a new algebraic expression of
Wigner coefficient with multiplicity for the canonical basis and the isoscalors
factors of SU (3) with only. three summations.
