On the finite dimensionality of every irreducible unitary representation of a compact group
HTML articles powered by AMS MathViewer
- by Leopoldo Nachbin PDF
- Proc. Amer. Math. Soc. 12 (1961), 11-12 Request permission
References
- François Bruhat, Algébres de Lie et groupes de Lie. Résumé des eleçons, Textos de Matemática, No. 3, Universidade do Recife, Instituto de Física e Matemática, Recife, 1959 (French). MR 0141734 P. Cartier, Structure topologique des groupes de Lie généraux, Séminaire Sophus Lie, le année, Exposé 22, Paris (1955).
- Anna Hurevitsch, Unitary representation in Hilbert space of a compact topological group, Rec. Math. [Mat. Sbornik] N. S. 13(55) (1943), 79–86 (English, with Russian summary). MR 0011309
- Paul Koosis, An irreducible unitary representation of a compact group is finite dimensional, Proc. Amer. Math. Soc. 8 (1957), 712–715. MR 87888, DOI 10.1090/S0002-9939-1957-0087888-6 A. Weil, L’intégration dans les groupes topologiques et ses applications, Paris, 1940.
Additional Information
- © Copyright 1961 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 12 (1961), 11-12
- MSC: Primary 46.80; Secondary 22.00
- DOI: https://doi.org/10.1090/S0002-9939-1961-0123197-5
- MathSciNet review: 0123197