Graded level zero integrable representations of affine Lie algebras
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We study the structure of the category of integrable level zero representations with finite dimensional weight spaces of affine Lie algebras. We show that this category possesses a weaker version of the finite length property, namely that an indecomposable object has finitely many simple constituents which are non-trivial as modules over the corresponding loop algebra. Moreover, any object in this category is a direct sum of indecomposables only finitely many of which are non-trivial. We obtain a parametrization of blocks in this category.
17 pages; referee's suggestions incorporated; main result extends to non-simply laced case
17 pages; referee's suggestions incorporated; main result extends to non-simply laced case