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Representations

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 \({\rm GL}_n \left(\mathbb{C}\right)\), the idea being that the “abstract” group G is “represented” as a matrix group.

Keywords

Irreducible Representation Compact Group Unitary Representation Group Homomorphism 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.

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Copyright information

© Springer Science+Business Media, LLC 2009

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