Smooth Lie group actions are parametrized diffeological subgroups
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- by Patrick Iglesias-Zemmour and Yael Karshon PDF
- Proc. Amer. Math. Soc. 140 (2012), 731-739 Request permission
Abstract:
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 $\mathrm {Diff}(M)$, where the image is equipped with the subset diffeology of the functional diffeology.References
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Additional Information
- Patrick Iglesias-Zemmour
- Affiliation: Laboratoire d’Analyse, Topologie et Probabilités, CNRS, Marseille, France – and – The Hebrew University of Jerusalem, Israel
- MR Author ID: 213548
- Email: piz@math.huji.ac.il
- Yael Karshon
- Affiliation: Department of Mathematics, The University of Toronto, 40 St. George Street, Toronto, Ontario M5S 2E4, Canada
- Email: karshon@math.toronto.edu
- Received by editor(s): November 30, 2010
- Published electronically: September 21, 2011
- Additional Notes: This research is partially supported by an NSERC Discovery Grant.
- Communicated by: Chuu-Lian Terng
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 731-739
- MSC (2010): Primary 58B25
- DOI: https://doi.org/10.1090/S0002-9939-2011-11301-7
- MathSciNet review: 2846342