N-dimensional superintegrable systems from symplectic realizations of Lie coalgebras

DOI10.1088/1751-8113/41/30/304028zbMath1192.81187OpenAlexW2025602079MaRDI QIDQ3518642

Alfonso Blasco, Ángel Ballesteros

Publication date: 8 August 2008

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/41/30/304028

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Lie bialgebras; Lie coalgebras (17B62)

Related Items (4)

Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras ⋮ Integrable Hénon-Heiles hamiltonians: a Poisson algebra approach ⋮ Coalgebra symmetry for discrete systems ⋮ Racah algebra R(n) from coalgebraic structures and chains of R(3) substructures

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