Koszul duality and equivalences of categories

Details Koszul duality and equivalences of categories Koszul duality and equivalences of categories

2000-12-29

arxiv.org/abs/math/0012264v2

Transactions of the A.M.S. 358 (2006), no.6, p.2373-2398

Mathematics

Rings and Algebras

AMSLatex, 29 pages. Slimmed and trimmed version. Also generalized to the setting of differential graded Koszul algebras

Scientific paper

10.1090/S0002-9947-05-04035-3

Let A and A! be dual Koszul algebras. By Positselski a filtered algebra U
with gr U = A is Koszul dual to differential graded algebra (A!,d). We relate
the module categories of this dual pair by a tensor-Hom adjunction. This
descends to give an equivalence of suitable quotient categories and generalizes
work of Beilinson, Ginzburg and Soergel.

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