Transactions of the American Mathematical Society

Author(s): Gunnar Fløystad
Journal: Trans. Amer. Math. Soc. 358 (2006), 2373-2398.
MSC (2000): Primary 16S37, 16D90
Posted: December 20, 2005
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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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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 16S37, 16D90

Gunnar Fløystad
Affiliation: Matematisk Institutt, University of Bergen, Johannes Brunsgate 12, 5008 Bergen, Norway
Email: gunnar@mi.uib.no

DOI: 10.1090/S0002-9947-05-04035-3
PII: S 0002-9947(05)04035-3
Received by editor(s): January 26, 2004
Posted: December 20, 2005
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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