Abstract
A Gelfan'd - Dyson mapping is used to generate a one-boson realization for the non-standard quantum deformation of 
which directly provides its infinite- and finite-dimensional irreducible representations. Tensor product decompositions are worked out for some examples. Relations between contraction methods and boson realizations are also explored in several contexts. So, a class of two-boson representations for the non-standard deformation of is introduced and contracted to the non-standard quantum (1 + 1) Poincaré representations. Likewise, a quantum extended Hopf algebra is constructed and non-standard quantum oscillator algebra representations are obtained from it by means of another contraction procedure.