On weight modules of algebras of twisted differential operators on the projective space
Abstract
We classify blocks of categories of weight and generalized weight modules of algebras of twisted differential operators on Pn. Necessary and sufficient conditions for these blocks to be tame and proofs that some of the blocks are Koszul are provided. We also establish equivalences of categories between these blocks and categories of bounded and generalized bounded weight sl(n+1)-modules in the cases of nonintegral and singular central character.
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