2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53740We present a detailed study of the representations of the algebra of functions on the quantum group $ GL_q(n) $. A q-analouge of the root system is constructed for this algebra which is then used to determine explicit matrix representations of the generators of this algebra. At the end a q-boson realization of the generators of $ GL_q(n) $ is given.20 PAGESHigh Energy Physics - Theorytext