|Dept.||University of Texas at Arlington|
We study 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 to be 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. This is a joint work with V. Serganova.