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9783110190069

The Structure of Compact Groups

by
  • ISBN13:

    9783110190069

  • ISBN10:

    3110190060

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 2006-08-30
  • Publisher: De Gruyter

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Summary

Dealing with the subject matter of compact groups that is frequently cited in fields like algebra, topology, functional analysis, and theoretical physics, this book has been conceived with the dual purpose of providing a text book for upper level graduate courses or seminars, and of serving as a source book for research specialists who need to apply the structure and representation theory of compact groups. The first edition of 1998 was well received by reviewers and has been frequently quoted in the areas of instruction and research. For the present new edition the text has been improved in various sections. New material has been added in order to reflect ongoing research.

Table of Contents

Basic topics and examplesp. 1
The basic representation theory of compact groupsp. 31
The ideas of Peter and Weylp. 52
Charactersp. 91
Linear Lie groupsp. 111
Compact Lie groupsp. 187
Duality of Abelian topological groupsp. 296
Compact Abelian groupsp. 369
The structure of compact groupsp. 447
Compact group actionsp. 534
The structure of free compact groupsp. 577
Cardinal invariants of compact groupsp. 615
Table of Contents provided by Blackwell. All Rights Reserved.

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