BGG reciprocity for current algebras
arXiv:1307.1440 · doi:10.1112/S0010437X14007908
Abstract
It was conjectured by Bennett, Chari, and Manning that a BGG-type reciprocity holds for the category of graded representations with finite-dimensional graded components for the current algebra associated to a simple Lie algebra. We associate a current algebra to any indecomposable affine Lie algebra and show that, in this generality, the BGG reciprocity is true for the corresponding category of representations.
23 pg, corrections to Lemma 2.14