The present paper is concerned with the inhomogeneous linear automorphisms of simple Hamiltonian systems. The generating functions of these automorphisms are obtained for the systems which admit the scalar-preserving isometry groups of higher orders. The Lie algebras of the corresponding infinitesimal automorphisms are classified into two types, the kinematical and dynamical algebras. The structures of these algebras are made clear on the basis of the generating functions.
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Entrata in Redazione il 6 dicembre 1974.
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Ikeda, M., Iwai, T. On inhomogeneous linear automorphisms of simple hamiltonian systems. Annali di Matematica 107, 263–278 (1975). https://doi.org/10.1007/BF02416476
- Generate Function
- Hamiltonian System
- Isometry Group
- Linear Automorphism
- Dynamical Algebra