Koszul duality and equivalences of categories

Fløystad, Gunnar

doi:10.1090/S0002-9947-05-04035-3

Koszul duality and equivalences of categories

Author: Gunnar Fløystad
Journal: Trans. Amer. Math. Soc. 358 (2006), 2373-2398
MSC (2000): Primary 16S37, 16D90
DOI: https://doi.org/10.1090/S0002-9947-05-04035-3
Published electronically: December 20, 2005
MathSciNet review: 2204036
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Abstract: Let and $A^{!}$ be dual Koszul algebras. By Positselski a filtered algebra with gr $\,U = A$ is Koszul dual to a differential graded algebra $(A^{!},d)$ . We relate the module categories of this dual pair by a $\otimes-$ Hom adjunction. This descends to give an equivalence of suitable quotient categories and generalizes work of Beilinson, Ginzburg, and Soergel.

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