Two Kinds Of Two-Boson Realizations Of Generally Deformed Algebras With Three Generators

In this paper two kinds of two-boson realizations of generally deformed algebras with three generators are obtained by generalizing the Jordan-Schwinger realizations of SU(2) and SU(1,1). For each kind, a. unitary realization and a non-unitary realization, together with the properties of their acting spaces, are discussed. Similarity transformations that relate tile non-unitary realizations to tile unitary ones are given by solving unitarization equations.