LINEAR RELATIONS AND INTEGRABILITY FOR CLUSTER ALGEBRAS FROM AFFINE QUIVERS

DOI10.1017/S0017089520000397zbMath1484.13051arXiv1909.10306OpenAlexW3049623094MaRDI QIDQ5009403

Joe Pallister

Publication date: 23 August 2021

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.10306

Mathematics Subject Classification ID

Recurrences (11B37) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Cluster algebras (13F60)

Related Items (1)

Atomic bases of quantum cluster algebras of type \(\widetilde{A}_{2 n - 1 , 1} \)

Cites Work

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• Discrete integrable systems and Poisson algebras from cluster maps
• Friezes
• Linear recurrence relations for cluster variables of affine quivers.
• Cluster mutation-periodic quivers and associated Laurent sequences
• Completely integrable symplectic mapping
• Cluster algebras. II: Finite type classification
• Cluster algebras and Weil-Petersson forms
• Cluster algebras as Hall algebras of quiver representations.
• Cluster algebras I: Foundations
• Mutation-periodic quivers, integrable maps and associated Poisson algebras
• Cluster algebras IV: Coefficients
• Integrable maps
• A simple model of the integrable Hamiltonian equation

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