Unitary representations of Lie groups with cocompact radical and applications

Pukanszky, L.

doi:10.1090/S0002-9947-1978-0486313-9

Unitary representations of Lie groups with cocompact radical and applications
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Trans. Amer. Math. Soc. 236 (1978), 1-49 Request permission

Abstract:

The paper gives a necessary and sufficient condition in order that a connected and simply connnected Lie group with cocompact radical be of type I. This result is then applied to a characterization of Lie groups, all irreducible unitary representations of which are completely continuous.

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Algébres de Lie

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