Article Contents
Article Contents

# On Lie algebra actions

• * Corresponding author: R. H. Cushman
• In this paper we define an action of a Lie algebra on a smooth manifold. We get nearly the same results as those for group actions, when the flows of the symmetry vector fields are complete. We show that the orbit space of a Lie algebra action is a differential space. We discuss differential spaces occuring in the reduction of symmetries in integrable Hamiltonian systems.

Mathematics Subject Classification: Primary: 37J15, 37J45; Secondary: 22F05.

 Citation:

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