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

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

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

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-2011-11301-7

Cite this

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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.",

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year = "2012",

doi = "10.1090/S0002-9939-2011-11301-7",

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M3 - مقالة

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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Smooth lie group actions are parametrized diffeological subgroups

Abstract

All Science Journal Classification (ASJC) codes

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