On certain categories of modules for affine Lie algebras
arXiv:math/0306293
Abstract
In this paper, we re-examine certain integrable modules of Chari-Presslely for an (untwisted) affine Lie algebra $\hat{\g}$ by exploiting basic formal variable techniques. We define and study two categories and of $\hat{\g}$-modules using generating functions, where includes evaluation modules and unifies highest weight modules, evaluation modules and their tensor product modules, and we classify integrable irreducible $\hat{\g}$-modules in categories and .
30 pages