Imaginary Verma modules for the extended Affine Lie algebra $sl_2(C_q)$
Representation Theory
2007-05-23 v1
Abstract
We consider one of the most natural extended affine Lie lagebras, the algebra 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".
Keywords
Cite
@article{arxiv.math/0104184,
title = {Imaginary Verma modules for the extended Affine Lie algebra $sl_2(C_q)$},
author = {M. Dokuchaev and L. Vasconcellos Figueiredo and V. Futorny},
journal= {arXiv preprint arXiv:math/0104184},
year = {2007}
}