The Structure of Pro-Lie Groups

BooksetmMonograph

Karl H. Hofmann
Technische Universität Darmstadt, Germany; Tulane University, New Orleans, USA
Sidney A. Morris
La Trobe University, Bundoora; Federation University Australia, Ballarat, Australia

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	ForewordDownload pp. v–vi
	Preface to the Second EditionDownload pp. vii–x
	Preface to the First EditionDownload pp. xi–xv
	ContentsDownload pp. xii–xxii
	Structure of Compact Groups and Pro-Lie Groups: Our Selectionpp. 1–16
1	Lie Groups and the Lie Theory of Topological Groupspp. 17–46
2	Pro-Lie Groupspp. 47–88
3	Quotients of Pro-Lie Groups pp. 89–124
4	Abelian Pro-Lie Groupspp. 125–174
5	Lie’s Third Fundamental Theorempp. 175–196
6	Profinite-Dimensional Modules and Lie Algebraspp. 197–284
7	The Structure of Simply Connected Pro-Lie Groups pp. 285–306
8	Analytic Subgroups and the Lie Theory of Pro-Lie Groupspp. 307–374
9	The Global Structure of Connected Pro-LieGroupspp. 375–422
10	Splitting Theorems for Pro-Lie Groupspp. 423–456
11	Procompact Subalgebras of Pro-Lie Algebras and Compact Subgroups of Pro-Lie Groupspp. 457–526
12	The Structure of Almost Connected Pro-Lie Groups pp. 527–546
13	Almost Connected Pro-Lie Groups and their Topologypp. 547–556
14	Iwasawa’s Local Splitting Theorempp. 557–578
15	Catalog of Examplespp. 579–618
	Panoramic Overview of this Bookpp. 619–688
A1	Limits of Topological Groupspp. 689–736
A2	Weakly Complete Topological Vector Spacespp. 737–784
A3	The Campbell–Hausdorff Formalismpp. 785–790
A4	Various Pieces of Information on Semisimple Lie Algebraspp. 791–796
	Referencespp. 797–808
	Indexpp. 809–818