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

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

2001-04-18

arxiv.org/abs/math/0104184v1

Mathematics

Representation Theory

Scientific paper

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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