This article is cited in 1 paper

Homogeneous and quasi-homogeneous representations of a locally compact group

M. A. Naimark


Abstract: For continuous representations of a locally compact group in a complete locally convex space the concepts of homogeneous and quasi-homogeneous representations are introduced. Various properties of such representations are investigated, criteria obtained for their irreducibility and complete irreducibility, and conditions given for their decomposability.

UDC: 513.88

MSC: 22D12

Received: 24.01.1972

 English version: Mathematics of the USSR-Izvestiya, 1972, 6:5, 1009–1036

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