Representations of compact Lie groups

Bibliographic Information

Representations of compact Lie groups

Theodor Bröcker, Tammo Tom Dieck

Springer-Verlag, c2010 , Amazon

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Note

Bibliography: p. [299]-303

Includes indexes

[Reprint]. Originally published: Singapore : Springer , c2010

Original issued in series: Graduate texts in mathematics, 98

Description and Table of Contents

Description

This introduction to the representation theory of compact Lie groups follows Herman Weyl's original approach. It discusses all aspects of finite-dimensional Lie theory, consistently emphasizing the groups themselves. Thus, the presentation is more geometric and analytic than algebraic. It is a useful reference and a source of explicit computations. Each section contains a range of exercises, and 24 figures help illustrate geometric concepts.

Table of Contents

I Lie Groups and Lie Algebras.- II Elementary Representation Theory.- III Representative Functions.- IV The Maximal Torus of a Compact Lie Group.- V Root Systems.- VI Irreducible Characters and Weights.- Symbol Index.

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