From simple-minded collections to silting objects via Koszul duality

DOI10.1007/s10468-018-9763-yzbMath1428.18024arXiv1609.03767OpenAlexW2962727514MaRDI QIDQ1737226

Xianqiang Yang

Publication date: 27 March 2019

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03767

zbMATH Keywords

silting objectnon-positive dg algebrapositive \(A_{\infty }\)-algebrasimple-minded collection

Mathematics Subject Classification ID

Differential graded algebras and applications (associative algebraic aspects) (16E45) Chain complexes (category-theoretic aspects), dg categories (18G35) Derived categories, triangulated categories (18G80) (A_{infty})-categories, relations with homological mirror symmetry (18G70)

Related Items (4)

The ST correspondence for proper non-positive dg algebras ⋮ Reductions of triangulated categories and simple‐minded collections ⋮ Cohen-Macaulay differential graded modules and negative Calabi-Yau configurations ⋮ Silting Objects

Cites Work

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• Silting objects, simple-minded collections, \(t\)-structures and co-\(t\)-structures for finite-dimensional algebras.
• Ordered Exchange Graphs
• Silting mutation in triangulated categories
• Weight structures vs.t-structures; weight filtrations, spectral sequences, and complexes (for motives and in general)
• Deriving DG categories
• Discreteness of silting objects and t-structures in triangulated categories
• Koszul Duality Patterns in Representation Theory
• Weight Structures and Simple dg Modules for Positive dg Algebras
• Homotopy Categories, Leavitt Path Algebras, and Gorenstein Projective Modules
• Introduction to \(A\)-infinity algebras and modules

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