Geodesic
On Inverse Limits of Finite Dimensional Lie Groups
Journal of Lie theory, Tome 16 (2006) no. 2, pp. 221-224.

Voir la notice de l'article provenant de la source Heldermann Verlag

We give a short proof of the Hofmann-Morris Theorem characterizing inverse limits of finite dimensional Lie groups [see K. H. Hofmann and S. A. Morris, Projective limits of finite dimensional Lie groups, Proc. Lond. Math. Soc. 87 (2003) 647--676, Theorem 4.7]. The proof depends on the Gleason-Palais characterization of finite dimensional Lie groups [see A. Gleason and R. Palais, On a class of transformation groups, Amer. J. Math. 79 (1957) 631--648, Theorem 7.2].
Classification : 22A05
Mots-clés : Finite dimensional Lie group, inverse limit 
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     title = {On {Inverse} {Limits} of {Finite} {Dimensional} {Lie} {Groups}},
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A. A. George Michael . On Inverse Limits of Finite Dimensional Lie Groups. Journal of Lie theory, Tome 16 (2006) no. 2, pp. 221-224. http://geodesic.mathdoc.fr/item/JLT_2006_16_2_JLT_2006_16_2_a0/