KOSZUL DUALITY FOR STRATIFIED ALGEBRAS II. STANDARDLY STRATIFIED ALGEBRAS

DOI10.1017/S1446788710001497zbMath1207.16031arXiv0812.4120MaRDI QIDQ3164545

Volodymyr Mazorchuk

Publication date: 28 October 2010

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.4120

zbMATH Keywords

tilting modulesgraded algebrascomplexesquasi-hereditary algebrasKoszul algebrasresolutionsRingel dualitystratified algebrascoresolutions

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Syzygies, resolutions, complexes in associative algebras (16E05) Quadratic and Koszul algebras (16S37)

Related Items (13)

Koszul duality for stratified algebras. I: Balanced quasi-hereditary algebras. ⋮ Strands algebras and the affine highest weight property for equivariant hypertoric categories ⋮ Cell decompositions of quiver flag varieties for nilpotent representations of the cyclic quiver ⋮ Semi-Infinite Highest Weight Categories ⋮ Pseudocompact algebras and highest weight categories ⋮ Cokernels of the Cartan matrix and stratifying systems ⋮ A generalized Koszul theory and its application ⋮ Parabolic category O for classical Lie superalgebras ⋮ A generalized Koszul theory and its relation to the classical theory. ⋮ Constructions of Stratified Algebras ⋮ Extension Algebras of Standard Modules ⋮ Affine highest weight categories and affine quasihereditary algebras ⋮ A GENERALIZATION OF THE THEORY OF STANDARDLY STRATIFIED ALGEBRAS I: STANDARDLY STRATIFIED RINGOIDS

Cites Work

• Koszul duality for extension algebras of standard modules.
• Finitistic dimension and tilting modules for stratified algebras.
• Applications of contravariantly finite subcategories
• Quasi-hereditary extension algebras.
• Standardly stratified algebras and tilting
• The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
• Dlab's theorem and tilting modules for stratified algebras.
• Cubist algebras.
• Koszul duality for stratified algebras. I: Balanced quasi-hereditary algebras.
• TYPICAL BLOCKS OF THE CATEGORY $\mathcal{O}$ FOR THE QUEER LIE SUPERALGEBRA
• Quadratic duals, Koszul dual functors, and applications
• The Homological Dual of a Highest Weight Category
• Derived Equivalences As Derived Functors
• Standardly Stratified Extension Algebras

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