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Graduate Texts in Mathematics

Representations of Compact Lie Groups

Authors: Bröcker, T., Dieck, T.tom

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About this Textbook

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.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook 49,99 €
price for Spain (gross)
  • ISBN 978-3-662-12918-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 62,35 €
price for Spain (gross)
  • ISBN 978-3-540-13678-1
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 62,35 €
price for Spain (gross)
  • ISBN 978-3-642-05725-0
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Representations of Compact Lie Groups
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
98
Copyright
1985
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-3-662-12918-0
DOI
10.1007/978-3-662-12918-0
Hardcover ISBN
978-3-540-13678-1
Softcover ISBN
978-3-642-05725-0
Series ISSN
0072-5285
Edition Number
1
Number of Pages
X, 316
Topics

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