107 research outputs found
BGG reciprocity for current algebras
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.Comment: 23 pg, corrections to Lemma 2.1
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