Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 
 

 

Representations of almost connected groups


Author: Dragan Miličić
Journal: Proc. Amer. Math. Soc. 47 (1975), 517-518
DOI: https://doi.org/10.1090/S0002-9939-1975-0354924-X
MathSciNet review: 0354924
Full-text PDF

Abstract | References | Additional Information

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

  • [1] N. Bourbaki, Éléments de mathématique. Livre VI: Intégration. Chaps. I-IX. Actualités Sci. Indust., Nos. 1175, 1343, Hermann, Paris, 1952, 1969. MR 14, 960; 43 #2183. MR 0276436 (43:2183)
  • [2] R. Lipsman, Representation theory of almost connected groups, Pacific J. Math. 42 (1972), 453-467. MR 0327975 (48:6317)
  • [3] D. Montgomery and L. Zippin, Topological transformation groups, Interscience, New York, 1955. MR 17, 383. MR 0073104 (17:383b)


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0354924-X
Keywords: Irreducible representation, factorial representation, almost connected group, Lie group, quasi-complete locally convex space
Article copyright: © Copyright 1975 American Mathematical Society

American Mathematical Society