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Representations

  • Anton Deitmar
  • Siegfried Echterhoff
Chapter
Part of the Universitext book series (UTX)

Abstract

In this chapter we introduce the basic concepts of representation theory of locally compact groups. Classically, a representation of a group G is an injective group homomorphism from G to some \({\rm GL}_n({\mathbb C})\), the idea being that the “abstract” group G is “represented” as a matrix group.

Keywords

Representation Theory Compact Group Unitary Representation Continuous Linear Algebra Homomorphism 
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 International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Universität Tübingen Institut für MathematikTübingenGermany
  2. 2.Universität Münster Mathematisches InstitutMünsterGermany

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