Representations of compact Lie groups
著者
書誌事項
Representations of compact Lie groups
Springer-Verlag, c2010 , Amazon
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注記
Bibliography: p. [299]-303
Includes indexes
[Reprint]. Originally published: Singapore : Springer , c2010
Original issued in series: Graduate texts in mathematics, 98
内容説明・目次
内容説明
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.
目次
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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