# Smooth Lie group actions are parametrized diffeological subgroups

@inproceedings{IGLESIASZEMMOUR2010SmoothLG, title={Smooth Lie group actions are parametrized diffeological subgroups}, author={Patrick IGLESIAS-ZEMMOUR and Yael Karshon}, year={2010} }

We show that every effective smooth action of a Lie group G on a manifold M is a diffeomorphism from G onto its image in Diff(M), where the image is equipped with the subset diffeology of the functional diffeology.

## 8 Citations

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