Description

Book Synopsis

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.

Representations of Compact Lie Groups

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    A Hardback by T. Bröcker, T.tom Dieck

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      Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
      Publication Date: Publication Date: 02/06/2003
      ISBN13: 9783540136781, 978-3540136781
      ISBN10: 3540136789
      Also in:
      Mathematics Groups and group theory

      Description

      Book Synopsis

      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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