A Class of Irreducible Modules for the Extended Affine Lie Algebra $\widetilde{{\mathfrak{g}\mathfrak{l}}_l({\mathbb{C}}_q)}$

We construct a class of modules for extended affine Lie algebra $\widetilde{{\mathfrak{g}\mathfrak{l}}_l({\text{bc}}_q)}$ by using the free fields. A necessary and sufficient condition is given for those modules being irreducible.