2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67040We give the complete set of irreducible representations of U(SU(2))_q when q is a m-th root of unity. In particular we show that their dimensions are less or equal to m. Some of them are not highest weight representations.9 pages, plain TeX ; due to the renewed interest in quantum groups at roots of unity, we put this paper in the archiveQuantum Algebra81R50; 17B37text