On the Galois coverings of a cluster-tilted algebra.

DOI10.1016/j.jpaa.2008.12.008zbMath1183.16013arXiv0709.0850OpenAlexW2115002164MaRDI QIDQ1013117

Ibrahim Assem, Ralf Schiffler, Thomas Brüstle

Publication date: 16 April 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.0850

zbMATH Keywords

hereditary algebrasAuslander-Reiten quiversGalois coveringscluster algebrasself-injective algebrastrivial extension algebrascluster repetitive algebrasminimal injective cogeneratorcluster duplicated algebraslocally representation finite algebras

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)

Related Items (15)

Cluster-tilted and quasi-tilted algebras ⋮ Cluster-tilted algebras without clusters. ⋮ Representation theory of partial relation extensions ⋮ Hall polynomials for representation-finite repetitive cluster-tilted algebras. ⋮ Maximal forward hom-orthogonal sequences for cluster-tilted algebras of finite type ⋮ Projective dimension of modules over cluster-tilted algebras. ⋮ Injective presentations of induced modules over cluster-tilted algebras ⋮ The dimension vectors of indecomposable modules of cluster-tilted algebras and the Fomin-Zelevinsky denominators conjecture. ⋮ On one-point extensions of cluster-tilted algebras. ⋮ Induced and coinduced modules over cluster-tilted algebras ⋮ On the first Hochschild cohomology group of a cluster-tilted algebra ⋮ On Lie algebras associated with representation-finite algebras. ⋮ Cluster-Tilted Algebras and Their Intermediate Coverings ⋮ A Course on Cluster Tilted Algebras ⋮ Finite Repetitive Generalized Cluster Complexes and d-Cluster Categories

Cites Work

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• Quivers with relations arising from clusters (𝐴_{𝑛} case)

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