Geodesic
Homogeneous and quasi-homogeneous representations of a~locally compact group
Izvestiya. Mathematics , Tome 6 (1972) no. 5, pp. 1009-1036

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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. 
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     author = {M. A. Naimark},
     title = {Homogeneous and quasi-homogeneous representations of a~locally compact group},
     journal = {Izvestiya. Mathematics },
     pages = {1009--1036},
     publisher = {mathdoc},
     volume = {6},
     number = {5},
     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1972_6_5_a4/}
}
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M. A. Naimark. Homogeneous and quasi-homogeneous representations of a~locally compact group. Izvestiya. Mathematics , Tome 6 (1972) no. 5, pp. 1009-1036. http://geodesic.mathdoc.fr/item/IM2_1972_6_5_a4/