Koszul duality and equivalences of categories
Rings and Algebras
2011-12-14 v2 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0012264,
title = {Koszul duality and equivalences of categories},
author = {Gunnar Floystad},
journal= {arXiv preprint arXiv:math/0012264},
year = {2011}
}
Comments
AMSLatex, 29 pages. Slimmed and trimmed version. Also generalized to the setting of differential graded Koszul algebras