Simplified Proofs for the Pro-Lie Group Theorem and the One-Parameter Subgroup Lifting Lemma
| dc.creator | Glockner, Helge | |
| dc.date | 2007-09-14 | |
| dc.date | 2007-09-19 | |
| dc.date.accessioned | 2026-07-07T08:30:19Z | |
| dc.date.available | 2026-07-07T08:30:19Z | |
| dc.description | This note is devoted to the theory of projective limits of finite-dimensional Lie groups, as developed in the recent monograph ``The Lie Theory of Connected Pro-Lie Groups'' by K.H. Hofmann and S.A. Morris. We replace the original, highly non-trivial proof of the One-Parameter Subgroup Lifting Lemma given in the monograph by a shorter and more elementary argument. Furthermore, we shorten (and correct) the proof of the so-called Pro-Lie Group Theorem, which asserts that pro-Lie groups and projective limits of Lie groups coincide. | |
| dc.description | 4 pages, LaTeX (v3: slightly expanded) | |
| dc.identifier | https://arxiv.org/abs/0709.2371 | |
| dc.identifier | http://arxiv.org/abs/0709.2371 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138210 | |
| dc.subject | Group Theory | |
| dc.subject | 22A05 (Primary); 22E15, 22E65 (Secondary) | |
| dc.title | Simplified Proofs for the Pro-Lie Group Theorem and the One-Parameter Subgroup Lifting Lemma | |
| dc.type | text |