2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77141We introduce the notion of characters of comodules over coribbon Hopf algebras. The case of quantum groups of type $A_n$ is studied. We establish a characteristic equation for the quantum matrix and a q-analogue of Harish-Chandra- Itzykson-Zuber integral10 pages, amslatexQuantum AlgebraQuantum AlgebraCharacters of Representations of Quantum Groups of Type $A_n$text