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Maximal subalgebra associated with a first integral of a system possessing sl(3,R) algebra. (English) Zbl 0658.58037
Symmetries of a dynamical system are used to determine the constants of the motion. This paper addresses the inverse problem for one dimensional (possible time dependent) Hamiltonian systems admitting SL(3,) symmetry, determining from a first integral and its associated triplet of generators all remaining first integrals.
Reviewer: T.Ratiu
MSC:
37C80Symmetries, equivariant dynamical systems
70H05Hamilton’s equations
17B05Structure theory of Lie algebras