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Representations and duality of compact groups

  • Edwin Hewitt
  • Kenneth A. Ross
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 152)

Abstract

In this chapter, we attempt to do for compact [non-Abelian] groups what we did in Chapter Six for locally compact Abelian groups. The task is a formidable one, and as the reader will see we do not give nearly so much detail about compact groups as we did for locally compact Abelian groups. A basic tool in our study is the Weyl-Peter theorem (27.40), which is the central object of § 27- In § 28, we apply representations of compact groups in several directions and also explore some interesting byways. In § 29, we study the unitary groups and present all the unitary representations of U (2) and D (3). Duality for compact groups is taken up in § 30.

Keywords

Irreducible Component Compact Group Unitary Representation Compact Abelian Group Irreducible Unitary Representation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer-Verlag Berlin Heidelberg 1970

Authors and Affiliations

  • Edwin Hewitt
    • 1
  • Kenneth A. Ross
    • 2
  1. 1.Department of Mathematic GN-50University of WashingtonSeattleUSA
  2. 2.Department of MathematicsUniversity of OregonEugeneUSA

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