The ST correspondence for proper non-positive dg algebras

DOI10.1080/00927872.2023.2217449arXiv2105.04095OpenAlexW4287183720MaRDI QIDQ6094264

Houjun Zhang

Publication date: 10 October 2023

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

Full work available at URL: https://arxiv.org/abs/2105.04095

zbMATH Keywords

differential graded algebrasilting objectsimple-minded collectionST correspondence

Mathematics Subject Classification ID

Differential graded algebras and applications (associative algebraic aspects) (16E45) Derived categories and associative algebras (16E35)

Cites Work

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• From \(m\)-clusters to \(m\)-noncrossing partitions via exceptional sequences
• Stable categories and reconstruction
• Simple objects in the heart of a \(t\)-structure
• From simple-minded collections to silting objects via Koszul duality
• Equivalences of derived categories for symmetric algebras.
• Silting objects, simple-minded collections, \(t\)-structures and co-\(t\)-structures for finite-dimensional algebras.
• Silting mutation in triangulated categories
• Deriving DG categories
• Discreteness of silting objects and t-structures in triangulated categories
• Weight Structures and Simple dg Modules for Positive dg Algebras

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