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Imaginary Verma modules for the extended Affine Lie algebra $sl_2(C_q)$

M. Dokuchaev·L. Vasconcellos Figueiredo·V. Futorny
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Abstract

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".

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BibTeXRIS

M. Dokuchaev, L. Vasconcellos Figueiredo, V. Futorny. 2001-04-18. Imaginary Verma modules for the extended Affine Lie algebra $sl_2(C_q)$. https://arxiv.org/abs/math/0104184

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