Single boson realizations of the deformed angular momentum algebra of Witten's types

By generalizing the Holstein-Primakoff realization and the Dyson realization of the Lie algebra SU(2),various realizations of the deformed angular momentum algebra Rc0,c1,c2q,s,a five-parameter deformed SU(2) by combining Witten’s two deformation schemes,are investigated in terms of the single boson and the single inversion boson respectively.For each kind,the unitary realization,the non-unitary realization,and their connection by the corresponding similarity transformation are respectively discussed.