Koszul differential graded algebras and BGG correspondence.

DOI10.1016/j.jalgebra.2008.06.021zbMath1193.16012arXiv0712.1324OpenAlexW2080434042MaRDI QIDQ958063

Quan Shui Wu, Ji-Wei He

Publication date: 2 December 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.1324

zbMATH Keywords

derived categoriesdifferential graded algebrasKoszul algebrasBGG correspondence

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Differential graded algebras and applications (associative algebraic aspects) (16E45) Quadratic and Koszul algebras (16S37)

Related Items (17)

Connected cochain DG algebras of Calabi-Yau dimension 0 ⋮ Derived Picard groups of homologically smooth Koszul DG algebras ⋮ Duality for cochain DG algebras. ⋮ Local cohomology for Gorenstein homologically smooth DG algebras ⋮ DG polynomial algebras and their homological properties ⋮ A sufficient condition for a connected DG algebra to be Calabi-Yau ⋮ Linear resolutions over Koszul complexes and Koszul homology algebras ⋮ DG algebra structures on AS-regular algebras of dimension 2 ⋮ Calabi–Yau properties of nontrivial Noetherian DG down-up algebras ⋮ Koszul differential graded algebras and BGG correspondence. II. ⋮ Coverings and truncations of graded self-injective algebras. ⋮ Cone Length for DG Modules and Global Dimension of DG Algebras ⋮ Isomorphism problem and homological properties of DG-free algebras ⋮ DG algebra structures on the quantum affine \(n\)-space \(\mathcal{O}_{- 1}( k^n)\) ⋮ Compact DG modules and Gorenstein DG algebras. ⋮ Koszul differential graded modules. ⋮ (Contravariant) Koszul Duality for DG Algebras

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