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Proceedings of the American Mathematical Society

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A theorem on extending representations


Author: Raymond C. Fabec
Journal: Proc. Amer. Math. Soc. 75 (1979), 157-162
MSC: Primary 22D10
DOI: https://doi.org/10.1090/S0002-9939-1979-0529233-X
MathSciNet review: 529233
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Abstract: We obtain sufficient conditions for a unitary representation of a closed subgroup M of a separable locally compact group G to have a unique unitary extension to G. The conditions depend on the behavior of the representation on a closed normal subgroup N of G contained in M. We then discuss an application of the theorem in particle physics.


References [Enhancements On Off] (What's this?)

  • [1] R. Fabec, Free particle systems and their dynamics in de Sitter space, J. Mathematical Phys. 18 (1977), 2087-2091. MR 0459476 (56:17668)
  • [2] G. W. Mackey, Induced representations of a locally compact group. I, Ann. of Math. 2 (1952), 101-139. MR 0044536 (13:434a)
  • [3] -, The theory of unitary group representations, 1st ed., Univ. of Chicago Press, Chicago, Ill., 1976, 372 pp. MR 0396826 (53:686)
  • [4] -, Unitary representations of group extensions. I, Acta Math. 99 (1958), 265-311. MR 0098328 (20:4789)

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DOI: https://doi.org/10.1090/S0002-9939-1979-0529233-X
Article copyright: © Copyright 1979 American Mathematical Society

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