[en] The principal ideas of an algebraic version of the resonating group method (RGM) based on the expansion of the wave function of a two-cluster system into an oscillator basis are presented. This allows one to solve the problems of either discrete and continuous spectrum. The use of the technique of generating functions enables one to simplify considerably the numerical realization of RGM. The phases of the elastic scattering ³He(n, n)³He, ³H(p, p)³H and ²H(d, d)²H are calculated by means of the proposed algebraic algorythm