TY - JOUR
T1 - Smooth lie group actions are parametrized diffeological subgroups
AU - Iglesias-Zemmour, Patrick
AU - Karshon, Yael
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=82255194068&partnerID=8YFLogxK
U2 - 10.1090/S0002-9939-2011-11301-7
DO - 10.1090/S0002-9939-2011-11301-7
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AN - SCOPUS:82255194068
SN - 0002-9939
VL - 140
SP - 731
EP - 739
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 2
ER -