2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74358We give closed formulae for the q-characters of the fundamental representations of the quantum loop algebra of a classical Lie algebra in terms of a family of partitions satisfying some simple properties. We also give the multiplicities of the eigenvalues of the imaginary subalgebra in terms of these partitions.18 pages. References addedRepresentation TheoryQuantum Algebra20G42; 17B10text