Generalizedq-Painlevé VI Systems of Type (A2n+1+A1+A1)(1) Arising From Cluster Algebra

DOI10.1093/imrn/rnaa283zbMath1497.37070arXiv1810.03252OpenAlexW3112194295MaRDI QIDQ5075183

Naoto Okubo, Takao Suzuki

Publication date: 10 May 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.03252

zbMATH Keywords

Weyl groupbirational transformations\(q\)-Garnier system\(q\)-Drinfeld-Sokolov hierarchy

Mathematics Subject Classification ID

Rational and birational maps (14E05) Difference equations, scaling ((q)-differences) (39A13) 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) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65) Completely integrable discrete dynamical systems (37J70)

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