Koszul duality and equivalences of categories
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Publication:3373714
DOI10.1090/S0002-9947-05-04035-3zbMath1101.16020arXivmath/0012264MaRDI QIDQ3373714
Publication date: 8 March 2006
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0012264
derived categoriesderived equivalencesdifferential graded algebrasdeformationsfiltrationscomplexeshomotopy categoriesadjoint functorslocalisationsKoszul dualitiesnon-homogeneous quadratic algebras
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Related Items (8)
Unnamed Item ⋮ Horrocks theory and the Bernstein-Gel’fand-Gel’fand correspondence ⋮ The bar derived category of a curved dg algebra ⋮ Noetherianity and Gelfand-Kirillov dimension of components. ⋮ Sheaf cohomology and free resolutions over exterior algebras ⋮ Quadratic duals, Koszul dual functors, and applications ⋮ Koszul duality for Iwasawa algebras modulo 𝑝 ⋮ Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence
Cites Work
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- Some remarks on Koszul algebras and quantum groups
- Koszul duality
- Differential homological algebra and homogeneous spaces
- Equivariant cohomology, Koszul duality, and the localization theorem
- Derived equivalences for group rings
- Poincaré-Birkhoff-Witt theorem for quadratic algebras of Koszul type
- Dualities on generalized Koszul algebras
- Morita Theory for Derived Categories
- Sheaf cohomology and free resolutions over exterior algebras
- Koszul Duality Patterns in Representation Theory
- Koszul Resolutions
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