2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107599We present modules for the extended affine Lie algebra $\widetilde{\frak{gl}_{3}(\bc_q)}$ by using the idea of free fields. A necessary and sufficient condition for the modules being unitary is given.35pagesQuantum AlgebraRepresentation Theory16G30Unitary representations of the extended affine Lie algebra $\widetilde{\frak{gl}_{3}(\bc_q)}$text