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Induced Representations of Locally Compact Groups by Keith F. Taylor, Eberhard Kaniuth

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Induced representations

The single most important method for producing representations of a locally compact group is the procedure of inducing representations from subgroups. If H is a closed subgroup of a locally compact group G and π is a unitary representation of H, then images π is a unitary representation of G that is constructed by combining the action of π with the algebraic and measure-theoretic inter-relation of G, H, and G/H.

The definition of images π in full generality is technical and somewhat complex. As a result, several approaches to the ...

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