1Departamento de Física Teórica, Universidad de Valladolid, E-47011, Valladolid, Spain2Departamento de Física, Universidad de Burgos, Pza. Misael Bañuelos, E-09001, Burgos, Spain
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The nonstandard Uzsl(2,Symbol 1) quantum algebra is considered together with other non-standard algebras sharing the same universal R-matrix as well as a fixed Hopf subalgebra. Some boson realizations for these nonstandard algebras are obtained which are later used in order to compute in a simplified way their (finite and infinite dimensional) representations. In the limit when the deformation parameter z vanishes these realizations turn into the well known (one or two-boson) Gelfand-Dyson realizations for the corresponding classical Lie algebras.