Journal of Lie Theory

no. 2
On Inverse Limits of Finite Dimensional Lie Groups
Journal of Lie Theory, Volume 16 (2006) no. 2, pp. 221-224
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].
DOI: 10.5802/jolt.406
Classification: 22A05
Keywords: Finite dimensional Lie group, inverse limit 
@article{JOLT_2006_16_2_a0,
     author = {A. A. George Michael},
     title = {On {Inverse} {Limits} of {Finite} {Dimensional} {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {221--224},
     year = {2006},
     volume = {16},
     number = {2},
     doi = {10.5802/jolt.406},
     zbl = {1099.22001},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.406/}
}
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A. A. George Michael. On Inverse Limits of Finite Dimensional Lie Groups. Journal of Lie Theory, Volume 16 (2006) no. 2, pp. 221-224. doi: 10.5802/jolt.406

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