On indecomposable \(\tau\)-rigid modules for cluster-tilted algebras of tame type

DOI10.1016/j.jalgebra.2019.04.024zbMath1479.16008arXiv1705.10939OpenAlexW2963289324MaRDI QIDQ2419482

Shengfei Geng, Changjian Fu

Publication date: 13 June 2019

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

Full work available at URL: https://arxiv.org/abs/1705.10939

zbMATH Keywords

cluster-tilted algebracluster category\(\tau\)-rigid modulecluster algebra of tame typedenominator conjecture

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)

Related Items (3)

Infinitesimal semi‐invariant pictures and co‐amalgamation ⋮ On cluster-tilting graphs for hereditary categories ⋮ Mutation of tilting bundles of tubular type

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rigid and Schurian modules over cluster-tilted algebras of tame type
• Diagrammatic description of \(c\)-vectors and \(d\)-vectors of cluster algebras of finite type
• Cluster structures from 2-Calabi-Yau categories with loops
• Cluster-concealed algebras.
• Modules determined by their composition factors
• Tame algebras and integral quadratic forms
• Denominators in cluster algebras of affine type.
• On indecomposable modules without selfextensions
• The dimension vectors of indecomposable modules of cluster-tilted algebras and the Fomin-Zelevinsky denominators conjecture.
• Maps between representations of zero-relation algebras
• Cluster mutation via quiver representations.
• Mutation in triangulated categories and rigid Cohen-Macaulay modules
• From triangulated categories to cluster algebras
• Tilting theory and cluster combinatorics.
• On triangulated orbit categories
• Cluster algebras I: Foundations
• Modules Over Cluster-Tilted Algebras Determined by Their Dimension Vectors
• Cluster structures for 2-Calabi–Yau categories and unipotent groups
• Cluster-tilted algebras
• From triangulated categories to cluster algebras II
• Acyclic Calabi–Yau categories
• Denominators of cluster variables
• On cluster algebras with coefficients and 2-Calabi-Yau categories
• -tilting theory
• On Indecomposable Exceptional Modules Over Gentle Algebras
• Quivers with relations arising from clusters (𝐴_{𝑛} case)

This page was built for publication: On indecomposable \(\tau\)-rigid modules for cluster-tilted algebras of tame type