Derived equivalences between triangular matrix algebras

DOI10.1080/00927872.2017.1327051zbMath1441.16010arXiv1311.1258OpenAlexW2962768850MaRDI QIDQ4643652

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Publication date: 28 May 2018

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

Full work available at URL: https://arxiv.org/abs/1311.1258

zbMATH Keywords

derived equivalencestriangular matrix algebrastilting objects

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Representations of associative Artinian rings (16G10) Derived categories and associative algebras (16E35)

Related Items (5)

Spherical subcategories in representation theory ⋮ Relative homological dimensions in recollements of triangulated categories ⋮ Koszulity of directed categories in representation stability theory ⋮ Recollement of colimit categories and its applications ⋮ Derived equivalences between generalized matrix algebras

Cites Work

• Homological theory of recollements of abelian categories
• Jordan-Hölder theorems for derived module categories of piecewise hereditary algebras.
• Derived equivalences of triangular matrix rings arising from extensions of tilting modules
• Recollements and tilting objects
• Stratifying derived module categories
• Parametrizing recollement data for triangulated categories
• Recollements of module categories
• Recollements of abelian categories and special types of comma categories
• Tilting complexes, perpendicular categories and recollements of derived module categories of rings
• One-point extensions and derived equivalence.
• Derived equivalences for triangular matrix rings
• Standard stratifications of EI categories and Alperin's weight conjecture.
• Good tilting modules and recollements of derived module categories
• Derived Equivalences of Upper Triangular Differential Graded Algebras
• One-point Extensions and Recollements of Derived Categories
• Morita Theory for Derived Categories
• Coxeter Functors Without Diagrams
• Gluing Silting Objects
• Stratifications of Finite Directed Categories and Generalized APR Tilting Modules
• Homological and homotopical aspects of torsion theories

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