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Representations of Compact Lie Groups

  • Textbook
  • © 1985


Part of the book series: Graduate Texts in Mathematics (GTM, volume 98)

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About this book

This book is based on several courses given by the authors since 1966. It introduces the reader to the representation theory of compact Lie groups. We have chosen a geometrical and analytical approach since we feel that this is the easiest way to motivate and establish the theory and to indicate relations to other branches of mathematics. Lie algebras, though mentioned occasionally, are not used in an essential way. The material as well as its presentation are classical; one might say that the foundations were known to Hermann Weyl at least 50 years ago. Prerequisites to the book are standard linear algebra and analysis, including Stokes' theorem for manifolds. The book can be read by German students in their third year, or by first-year graduate students in the United States. Generally speaking the book should be useful for mathematicians with geometric interests and, we hope, for physicists. At the end of each section the reader will find a set of exercises. These vary in character:Some ask the reader to verify statements used in the text, some contain additional information, and some present examples and counter­ examples. We advise the reader at least to read through the exercises.

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Table of contents (6 chapters)

Authors and Affiliations

  • Fachbereich Mathematik, Universität Regensburg, Regensburg, Federal Republic of Germany

    Theodor Bröcker

  • Mathematisches Institut, Universität Göttingen, Göttingen, Federal Republic of Germany

    Tammo Dieck

Bibliographic Information

  • Book Title: Representations of Compact Lie Groups

  • Authors: Theodor Bröcker, Tammo Dieck

  • Series Title: Graduate Texts in Mathematics

  • DOI:

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1985

  • Hardcover ISBN: 978-3-540-13678-1Published: 01 March 1985

  • Softcover ISBN: 978-3-642-05725-0Published: 19 October 2010

  • eBook ISBN: 978-3-662-12918-0Published: 14 March 2013

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: X, 316

  • Topics: Topological Groups, Lie Groups

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