A ℤ-Basis for the Cluster Algebra of Type $\widetilde{D}_4$

DOI10.1142/S1005386712000466zbMath1288.14035OpenAlexW2206654333MaRDI QIDQ2859245

Fan Xu, Ming Ding

Publication date: 7 November 2013

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

Full work available at URL: https://doi.org/10.1142/s1005386712000466

zbMATH Keywords

cluster algebracluster category\(\mathbb Z\)-basis\(\tilde D_4\)

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Special varieties (14M99) Representations of quivers and partially ordered sets (16G20)

Related Items (1)

Positivity for generalized cluster variables of affine quivers

Cites Work

• Cluster multiplication in regular components via generalized Chebyshev polynomials.
• From triangulated categories to cluster algebras
• Tilting theory and cluster combinatorics.
• Cluster algebras I: Foundations
• Green’s Formula with ℂ*-Action and Caldero–Keller’s Formula for Cluster Algebras
• From triangulated categories to cluster algebras II
• On the cluster multiplication theorem for acyclic cluster algebras

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