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We construct a class of modules for extended affine Lie algebra$\widetilde{\frak{gl}_l({\bc_q})}$ by using the free fields. A necessary andsufficient condition is given for those modules being irreducible.

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