Sharing symmetries in non-linear systems: Generalized Heisenberg–Weyl algebra on the de Sitter space-time out of the sphere S3

DOI10.1142/s0219887821500742OpenAlexW3133652345MaRDI QIDQ6125314

Victor Aldaya, F. F. López-Ruiz, Julio Guerrero

Publication date: 11 April 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887821500742

zbMATH Keywords

symmetryCartan formalismHamilton-Jacobinon-linear systemsinverse Noether theorem\(S^3\) sigma modelgeneralized position and momentum in de Sitter space-timenon-point symmetries

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Hamilton-Jacobi equations in mechanics (70H20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Canonical transformations in symplectic and contact geometry (53D22) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

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