Derived categories, tilted algebras, and Drinfel'd doubles.

DOI10.1016/S0021-8693(03)00286-2zbMath1051.16012MaRDI QIDQ1406770

Youjun Tan, Liangang Peng

Publication date: 7 September 2003

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

zbMATH Keywords

derived categorieshereditary algebrasAuslander-Reiten translationstilted algebrasDrinfel'd doublestwisted Ringel-Hall algebras

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20)

Related Items (2)

DEGENERATION-LIKE ORDERS IN TRIANGULATED CATEGORIES ⋮ The Bridgeland's Ringel-Hall algebra associated to an algebra with global dimension at most two.

Cites Work

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• Drinfeld double and Ringel-Green theory of Hall algebras
• Root categories and simple Lie algebras
• Triangulated categories and Kac-Moody algebras
• On the double of the Hall algebra of a quiver
• Coxeter Functors Without Diagrams
• COXETER FUNCTORS AND GABRIEL'S THEOREM
• BGP-reflection functors and Lusztig's symmetries: a Ringel-Hall algebra approach to quantum groups

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