2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152513We show that the coefficients of decomposition into an irreducible components of the tensor powers of level $r$ symmetric algebra of adjoint representation coincide with the Verlinder numbers. Also we construct (for $sl(2)) the representations of a general linear group those dimensions are given by corresponding Verlinde's numbers.9 pagesHigh Energy Physics - TheoryQuantum Algebratext