Abstract: | In this paper we have proved that the wave functions for bosons and fermionscan be classified by either of the following two Lie superalgebra chains U(2l+1/2j+1) SU(2l+1/2j+1) SU(2l+1)SU(2j+1) SO(2l+1)Sp(2j+1) SO(3)SO(3), U(2l+1/2j+1) SU(2l+1/2j+1) OSp(2l+1/2j+1) SO(2l+1)Sp(2j+1) SO(3)SO(3) The wave functions for bosons and fermions classified by the Lie superalgebra chain U(2l+1/2j+1) SU(2l+1/2j+1) SU(2l+1)SU(2j+1) SO(2l+1)Sp(2j+1) SO(3)SO(3), are calculated also. |