Compact Groups

Part of the Universitext book series (UTX)

In this chapter we will show that every unitary representation of a compact group is a direct sum of irreducibles, and that every irreducible unitary representation is finite dimensional. We further prove the Peter-Weyl theorem, which gives an explicit decomposition of the regular representation of the compact group K on L2(K).


Irreducible Representation Invariant Measure Compact Group Unitary Representation Regular Representation 
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© Springer Science+Business Media, LLC 2009

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