Cluster-Tilted Algebras of TypeDn

DOI10.1080/00927870903225833zbMath1207.16013arXiv0812.0650OpenAlexW2962931704MaRDI QIDQ3579909

Hongbo Lü, Wenxu Ge, Shun-Hua Zhang

Publication date: 11 August 2010

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

Full work available at URL: https://arxiv.org/abs/0812.0650

zbMATH Keywords

type \(D\)triangulationscluster-tilted algebrascluster categoriescluster-tilting objectspunctured polygonstagged arcs

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Cluster algebras (13F60) Derived categories and associative algebras (16E35)

Related Items (1)

A Course on Cluster Tilted Algebras

Cites Work

• Tame algebras and integral quadratic forms
• Cluster-tilted algebras of finite representation type.
• Quivers with relations and cluster tilted algebras.
• Derived equivalence classification for cluster-tilted algebras of type \(A_n\).
• Cluster algebras. II: Finite type classification
• A geometric model for cluster categories of type \(D_n\).
• Tilting theory and cluster combinatorics.
• Cluster algebras I: Foundations
• Cluster-tilted algebras
• The Mutation Class ofD_nQuivers
• Quivers with relations arising from clusters (𝐴_{𝑛} case)

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