Localization Of Highest Weight Modules Of A Glass Of Extended Affine Lie Algebra

In 2006,Yun Gao and Ziting Zeng have constructed a class of highest weight modules of the extended affine Lie algebras (?)using the free fields,where q is any nonzero complex number[20].In the present paper,we will apply the technique of localization to those modules to obtain a class of new weight modules which have infinite dimension-al weight spaces.We give necessary and sufficient conditions for these modules to be irreducible.