Representations of Double Affine Lie algebras
Quantum Algebra
2007-05-23 v1 Representation Theory
Abstract
We study representations of the double affine Lie algebra associated to a simple Lie algebra. We construct a family of indecomposable integrable representations and identify their irreducible quotients. We also give a condition for the indecomposable modules to be irreducible, this is analogous to a result in the representation theory of quantum affine algebras. Finally, in the last section of the paper, we show, by using the notion of fusion product, that our modules are generically reducible.
Keywords
Cite
@article{arxiv.math/0205312,
title = {Representations of Double Affine Lie algebras},
author = {Vyjayanthi Chari and Thang Le},
journal= {arXiv preprint arXiv:math/0205312},
year = {2007}
}