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


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.


Representation Theory Compact Group Unitary Representation Continuous Linear Algebra Homomorphism 
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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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