The Structure of Pro-Lie Groups

  • Karl H. Hofmann

    Technische Universität Darmstadt, Germany; Tulane University, New Orleans, USA
  • Sidney A. Morris

    La Trobe University, Bundoora; Federation University Australia, Ballarat, Australia
The Structure of Pro-Lie Groups cover

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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
1Lie Groups and the Lie Theory of Topological Groupspp. 17–46
2Pro-Lie Groupspp. 47–88
3Quotients of Pro-Lie Groups pp. 89–124
4Abelian Pro-Lie Groupspp. 125–174
5Lie’s Third Fundamental Theorempp. 175–196
6Profinite-Dimensional Modules and Lie Algebraspp. 197–284
7The Structure of Simply Connected Pro-Lie Groups pp. 285–306
8Analytic Subgroups and the Lie Theory of Pro-Lie Groupspp. 307–374
9The Global Structure of Connected Pro-LieGroupspp. 375–422
10Splitting Theorems for Pro-Lie Groupspp. 423–456
11Procompact Subalgebras of Pro-Lie Algebras and Compact Subgroups of Pro-Lie Groupspp. 457–526
12The Structure of Almost Connected Pro-Lie Groups pp. 527–546
13Almost Connected Pro-Lie Groups and their Topologypp. 547–556
14Iwasawa’s Local Splitting Theorempp. 557–578
15Catalog of Examplespp. 579–618
Panoramic Overview of this Bookpp. 619–688
A1Limits of Topological Groupspp. 689–736
A2Weakly Complete Topological Vector Spacespp. 737–784
A3The Campbell–Hausdorff Formalismpp. 785–790
A4Various Pieces of Information on Semisimple Lie Algebraspp. 791–796
Referencespp. 797–808
Indexpp. 809–818