The Lie Theory of Connected Pro-Lie Groups
A Structure Theory for Pro-Lie Algebras, Pro-Lie Groups, and Connected Locally Compact Groups
Karl H. Hofmann
TU Darmstadt, GermanySidney A. Morris
University of Ballarat, Australia
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| FrontmatterDownload pp. i–iv | |
| PrefaceDownload pp. v–ix | |
| ContentsDownload pp. xi–xv | |
| Panoramic OverviewDownload pp. 1–62 | |
| 1 | Limits of Topological Groupspp. 63–106 |
| 2 | Lie Groups and the Lie Theory of Topological Groupspp. 107–134 |
| 3 | Pro-Lie Groupspp. 135–167 |
| 4 | Quotients of Pro-Lie Groupspp. 168–211 |
| 5 | Abelian Pro-Lie Groupspp. 212–248 |
| 6 | Lie’s Third Fundamental Theorempp. 249–268 |
| 7 | Profinite-Dimensional Modules and Lie Algebraspp. 269–334 |
| 8 | The Structure of Simply Connected Pro-Lie Groupspp. 335–355 |
| 9 | Analytic Subgroups and the Lie Theory of Pro-Lie Groupspp. 356–418 |
| 10 | The Global Structure of Connected Pro-Lie Groupspp. 419–460 |
| 11 | Splitting Theorems for Pro-Lie Groupspp. 461–492 |
| 12 | Procompact Subalgebras of Pro-Lie Algebras and Compact Subgroups of Pro-Lie Groupspp. 493–565 |
| 13 | Iwasawa’s Local Splitting Theorempp. 566–586 |
| 14 | Catalog of Examplespp. 587–623 |
| 1 | The Campbell–Hausdorff Formalismpp. 624–628 |
| 2 | Weakly Complete Topological Vector Spacespp. 629–650 |
| 3 | Various Pieces of Information on Semisimple Lie Algebraspp. 651–655 |
| Bibliographypp. 657–666 | |
| List of Symbolspp. 667–668 | |
| Indexpp. 669–678 |