On (p,q;α,β,l)(p,q;α,β,l)-deformed oscillator and its generalized quantum Heisenberg–Weyl algebra

We present a description of a new kind of the deformed canonical commutation relations, their representations and generated by them generalized quantum Heisenberg–Weyl algebra. This deformed algebra allows us to define operations of the Hopf algebra structure: comultiplication, counit and antipode. We have found out a symmetry of the spectrum of the Hamilton operator of the corresponding deformed harmonic oscillator.