The dimension vectors of indecomposable modules of cluster-tilted algebras and the Fomin-Zelevinsky denominators conjecture.

DOI10.1007/s10114-012-9389-7zbMath1254.16011OpenAlexW1984586144WikidataQ123198464 ScholiaQ123198464MaRDI QIDQ1758011

Liangang Peng, Shengfei Geng

Publication date: 7 November 2012

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-9389-7

zbMATH Keywords

finite representation typecluster-tilted algebrascluster categoriesdimension vectorscluster tilting objectsdenominators

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)

Related Items (6)

Cluster-concealed algebras. ⋮ On indecomposable \(\tau\)-rigid modules for cluster-tilted algebras of tame type ⋮ Relation between \(f\)-vectors and \(d\)-vectors in cluster algebras of finite type or rank 2 ⋮ On Indecomposable Exceptional Modules Over Gentle Algebras ⋮ Mutation of tilting bundles of tubular type ⋮ Modules Over Cluster-Tilted Algebras Determined by Their Dimension Vectors

Cites Work

• Unnamed Item
• Unnamed Item
• Cluster-concealed algebras.
• Cluster-tilted algebras of finite representation type.
• Quivers with relations and cluster tilted algebras.
• Denominators in cluster algebras of affine type.
• On the Galois coverings of a cluster-tilted algebra.
• Cluster algebras. II: Finite type classification
• Cluster mutation via quiver representations.
• Tilting theory and cluster combinatorics.
• On triangulated orbit categories
• Cluster algebras I: Foundations
• Cluster-Tilted Algebras and Their Intermediate Coverings
• Cluster-tilted algebras
• From triangulated categories to cluster algebras II
• Clusters and seeds in acyclic cluster algebras
• Cluster-tilted algebras as trivial extensions
• Quivers with relations arising from clusters (𝐴_{𝑛} case)

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