Friezes and a construction of the Euclidean cluster variables

DOI10.1016/j.jpaa.2010.12.013zbMath1317.13049arXiv1003.0197OpenAlexW1966562828MaRDI QIDQ635446

Grégoire Dupont, Ibrahim Assem

Publication date: 19 August 2011

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

Full work available at URL: https://arxiv.org/abs/1003.0197

Mathematics Subject Classification ID

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

Related Items (12)

Generalised friezes and a modified Caldero-Chapoton map depending on a rigid object. II. ⋮ A multiplication formula for the modified Caldero-Chapoton map ⋮ Coxeter's frieze patterns at the crossroads of algebra, geometry and combinatorics ⋮ Friezes ⋮ Linear recurrence relations for cluster variables of affine quivers. ⋮ Mutating seeds: types \(\mathbb{A}\) and \(\tilde{\mathbb{A}}\) ⋮ Quasi-cluster algebras from non-orientable surfaces ⋮ A Caldero–Chapoton map for infinite clusters ⋮ Arithmetics of 2-friezes ⋮ FRIEZES, STRINGS AND CLUSTER VARIABLES ⋮ \( \tilde{A}\) and \(\tilde{D}\) type cluster algebras: triangulated surfaces and friezes ⋮ Generalized friezes and a modified Caldero–Chapoton map depending on a rigid object

Cites Work

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• Tilting theory and cluster combinatorics.
• On triangulated orbit categories
• Cluster algebras I: Foundations
• From triangulated categories to cluster algebras II
• Indecomposable representations of graphs and algebras
• Triangulated polygons and frieze patterns
• Triangulated polygons and frieze patterns

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