T Bröcker

(Author)

Representations of Compact Lie GroupsPaperback, 19 October 2010

Representations of Compact Lie Groups
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Part of Series
Graduate Texts in Mathematics
Part of Series
Graduate Texts in Mathematics Graduate Texts in Mathematics
Print Length
316 pages
Language
English
Publisher
Springer
Date Published
19 Oct 2010
ISBN-10
364205725X
ISBN-13
9783642057250

Description

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.

Product Details

Authors:
T BröckerT Tom Dieck
Book Format:
Paperback
Country of Origin:
NL
Date Published:
19 October 2010
Dimensions:
23.39 x 15.6 x 1.75 cm
ISBN-10:
364205725X
ISBN-13:
9783642057250
Language:
English
Location:
Berlin, Heidelberg
Pages:
316
Publisher:
Weight:
458.13 gm

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