Representations of compact Lie groups

Bibliographic Information

Representations of compact Lie groups

Theodor Bröcker, Tammo Tom Dieck

(Graduate texts in mathematics, 98)

Springer-Verlag, c1985

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  • : gw

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Note

Bibliography: p. [299]-303

Includes indexes

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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