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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Representations of almost connected groups
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by Dragan Miličić PDF
Proc. Amer. Math. Soc. 47 (1975), 517-518 Request permission

Abstract:

A simple proof is given that an irreducible representation of an almost connected group on a quasi-complete locally convex space is essentially a Lie group representation.
References
  • N. Bourbaki, Éléments de mathématique. Fasc. XXXV. Livre VI: Intégration. Chapitre IX: Intégration sur les espaces topologiques séparés, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1343, Hermann, Paris, 1969 (French). MR 0276436
  • Ronald L. Lipsman, Representation theory of almost connected groups, Pacific J. Math. 42 (1972), 453–467. MR 327975, DOI 10.2140/pjm.1972.42.453
  • Deane Montgomery and Leo Zippin, Topological transformation groups, Interscience Publishers, New York-London, 1955. MR 0073104
Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 47 (1975), 517-518
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0354924-X
  • MathSciNet review: 0354924