%0 Journal Article %T Imaginary Verma modules for the extended Affine Lie algebra $sl_2(C_q)$ %A M. Dokuchaev %A L. Vasconcellos Figueiredo %A V. Futorny %J Mathematics %D 2001 %I arXiv %X We consider one of the most natural extended affine Lie lagebras, the algebra $sl_2({\mathbb C}_q)$ and begin a theory of its representations. In particular, we study a class of imaginary Verma modules, obtain a criterion of irreducibility and describe their submodule structure in "general position". %U http://arxiv.org/abs/math/0104184v1