Yury Drozd
Academia de Ciências da Ucrânia, Ucrânia

Koszul duality for extension algebras of standard modules.

Abstract: We define a class of Koszul quasi-hereditary algebras for which there is a natural equivalence between the derived category of graded modules and the derived category of graded modules over the extension algebra of standard modules. Examples of such algebras include, in particular, the multiplicity free blocks of the BGG category O. (joint with V.Mazorchuk)