From recollement of triangulated categories to recollement of abelian categories

DOI10.1007/S11425-009-0189-1zbMath1206.18012OpenAlexW1996792582MaRDI QIDQ977251

MinXiong Wang, Ya Nan Lin

Publication date: 21 June 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0189-1

zbMATH Keywords

triangulated categoryquotient categoryabelian categoryrecollementtilting subcategory

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (3)

Torsion pairs and recollements of extriangulated categories ⋮ Torsion pairs in recollements of abelian categories ⋮ Cotorsion Pairs in a Recollement of Triangulated Categories

Cites Work

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• Recollements of extension algebras
• Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
• Recollements, idempotent completions and t-structures of triangulated categories
• One-point extension and recollement.
• Elementary construction of perverse sheaves
• Algebraic stratification in representation categories
• Comparison of abelian categories recollements
• From triangulated categories to abelian categories: cluster tilting in a general framework

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