2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226083We construct a class of modules for extended affine Lie algebra $\widetilde{\frak{gl}_l({\bc_q})}$ by using the free fields. A necessary and sufficient condition is given for those modules being irreducible.19pagesRepresentation TheoryQuantum Algebra17B10A Class of Irreducible Modules for the Extended Affine Lie Algebra $\widetilde{\frak{gl}_l({\mathbb{C}_q})}$text