Koszul duality and modular representations of semisimple Lie algebras
In this paper the author proves Koszulity for all blocks of the restricted enveloping algebra of a connected, simply connected, semisimple algebraic group over an algebraically closed field of sufficiently large characteristic. In many cases the author also presents a description for the Koszul dual. Proofs use geometric descriptions of the derived module categories and explicit information about geometric counterparts of translation functors and their Koszul duals.
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