New cluster algebras from old: integrability beyond Zamolodchikov periodicity
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Publication:6624208
DOI10.1088/1751-8121/ad791aMaRDI QIDQ6624208
Takafumi Mase, Andrew N. W. Hone, Wookyung Kim
Publication date: 25 October 2024
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Applications of Lie algebras and superalgebras to integrable systems (17B80) Cluster algebras (13F60) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)
Cites Work
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- Laurent phenomenon algebras
- Discrete integrable systems and Poisson algebras from cluster maps
- Cluster mutation-periodic quivers and associated Laurent sequences
- Integrable symplectic maps
- Completely integrable symplectic mapping
- Cluster algebras. II: Finite type classification
- \(Y\)-systems and generalized associahedra
- Integrable mappings and soliton equations
- Positivity for cluster algebras
- QRT maps and related Laurent systems
- Cluster algebras I: Foundations
- Investigation into the role of the Laurent property in integrability
- Discrete Painlevé equations from Y-systems
- T-systems andY-systems in integrable systems
- Difference equations and cluster algebras I: Poisson bracket for integrable difference equations
- Canonical bases for cluster algebras
- Cluster algebras IV: Coefficients
- Bilinear equations and q-discrete Painlevé equations satisfied by variables and coefficients in cluster algebras
- Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences
- Periodicities of T-systems and Y-systems
- Sufficient number of integrals for thepth-order Lyness equation
- Integrable maps
- Some integrable maps and their Hirota bilinear forms
- On the algebraic structure of rational discrete dynamical systems
- Sigma function solution of the initial value problem for Somos 5 sequences
- Ultradiscrete QRT maps and tropical elliptic curves
- RECURRENCE RELATIONS FOR ELLIPTIC SEQUENCES: EVERY SOMOS 4 IS A SOMOS LOWERCASE $k$
- Periodicities in cluster algebras and dilogarithm identities
- Frieze patterns
- Deformations of cluster mutations and invariant presymplectic forms
- An exercise in experimental mathematics: calculation of the algebraic entropy of a map
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