The structure of compact groups : a primer for students, a handbook for the expert / by Karl H. Hofmann, Sidney A. Morris.

Format:

Book

Author/Creator:

Hofmann, Karl Heinrich.

Contributor:

Morris, Sidney A., 1947-

Series:

Gruyter studies in mathematics ; 25.

De Gruyter studies in mathematics ; 25

Language:

English

Subjects (All):

Compact groups.

Mathematics.

Physical Description:

1 online resource (876 p.)

Edition:

2nd rev. ed.

Place of Publication:

New York : Walter de Gruyter, 2006.

Language Note:

English

Summary:

Dealing with 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. After a gentle introduction to compact groups and their representation theory, the book presents self-contained courses on linear Lie groups, on compact Lie groups, and on locally compact abelian groups. However, the thrust of book points in the direction of the structure theory of infinite dimensional, not necessarily commutative compact groups, unfettered by weight restrictions or dimensional bounds. In the process it utilizes infinite dimensional Lie algebras and the exponential function of arbitrary compact groups. The first edition of 1998 was well received by reviewers and has been frequently "ed in the areas of instruction and research. For the present new edition the text has been cleaned of typographical flaws and some minor inaccuracies of content; it has been edited and improved in various sections. New material has been added in order to reflect ongoing research. In the process of revising the original edition, the integrity of the original section numbering was carefully respected so that citations of material from the first edition remains perfectly viable to the users of this edition.

Contents:

Front matter

Contents

Chapter 1 Basic Topics and Examples

Chapter 2 The Basic Representation Theory of Compact Groups

Chapter 3 The Ideas of Peter and Weyl

Chapter 4 Characters

Chapter 5 Linear Lie Groups

Chapter 6 Compact Lie Groups

Chapter 7 Duality for Abelian Topological Groups

Chapter 8 Compact Abelian Groups

Chapter 9 The Structure of Compact Groups

Chapter 10 Compact Group Actions

Chapter 11 The Structure of Free Compact Groups

Chapter 12 Cardinal Invariants of Compact Groups

Backmatter

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786612194856

9781282194854

1282194852

9783110199772

3110199777

OCLC:

476023481