The Lie Theory of Connected Pro-Lie Groups

A Structure Theory for Pro-Lie Algebras, Pro-Lie Groups, and Connected Locally Compact Groups

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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