Smooth lie group actions are parametrized diffeological subgroups

Patrick Iglesias-Zemmour; Yael Karshon

doi:10.1090/S0002-9939-2011-11301-7

Smooth lie group actions are parametrized diffeological subgroups

Patrick Iglesias-Zemmour
, Yael Karshon

CNRS
Hebrew University of Jerusalem
University of Toronto

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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 Diff(M), where the image is equipped with the subset diffeology of the functional diffeology.

Original language	English
Pages (from-to)	731-739
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	140
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-2011-11301-7
State	Published - 2012
Externally published	Yes

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Smooth lie group actions are parametrized diffeological subgroups

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