2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69197Some one- and two-parametric deformations of U[sl(2)] and their representations are considered. Interestingly, a newly introduced two-parametric deformation admits a class of infinite - dimensional representations which have no classical (non-deformed) and one-parametric deformation analogues, even at generic deformation parameters.LaTeX, 7 pages, no figure. Talk given at the 28th National Workshop on Theoretical Physics, Samson, 12-14 August 2003. In v2: PACS correctedQuantum AlgebraHigh Energy Physics - TheoryMathematical PhysicsRepresentation Theory17B37, 20G05text