Imaginary Verma modules for the extended Affine Lie algebra sl2(Cq)
M. Dokuchaev, L. Vasconcellos Figueiredo, V. Futorny
Abstract
We consider one of the most natural extended affine Lie lagebras, the algebra sl2( Cq) 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".
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