Poisson-Hopf deformations of Lie-Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra

DOI10.1088/1751-8121/ABF1DBzbMath1519.70014arXiv2101.00616MaRDI QIDQ6357462

Eduardo Fernández-Saiz, Francisco J. Herranz, Ángel Ballesteros, Javier de Lucas, Otto Rutwig Campoamor Stursberg

Publication date: 3 January 2021

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

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