Generalized deformed para-Bose oscillator and nonlinear algebras

Generalized deformed commutation relations for a single mode para-Bose oscillator and for a system of two para-Bose oscillators are constructed. It turns out that generalized deformed para-Bose oscillators are not, in general, exactly independent. Furthermore, we also discuss about the Fock space corresponding to generalized deformed para-Bose oscillators. Finally, we show how SU(2) and SU(1,1) generators can be constructed in terms of generalized deformed para-Bose creation and annihilation operators. The algebras SU(2) and SU(1,1) of generalized deformed oscillators(14,18) are the special cases of generalized deformed para-Bose oscillators algebras but, interestingly, they have the same form.