Skip to Main Content

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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Rationality of representations of linear Lie groups
HTML articles powered by AMS MathViewer

by Dong Hoon Lee and Ta Sun Wu PDF
Proc. Amer. Math. Soc. 114 (1992), 847-855 Request permission

Abstract:

We are concerned with real linear Lie groups $G$ having the property that every finite-dimensional continuous representation of $G$ is rational.
References
    C. Chevalley, Theory of Lie groups, Princeton Univ. Press, Princeton, NJ, 1946.
  • Harish-Chandra, Lie algebras and the Tannaka duality theorem, Ann. of Math. (2) 51 (1950), 299–330. MR 33811, DOI 10.2307/1969326
  • G. Hochschild, The structure of Lie groups, Holden-Day, Inc., San Francisco-London-Amsterdam, 1965. MR 0207883
  • G. Hochschild and G. D. Mostow, Representations and representative functions of Lie groups, Ann. of Math. (2) 66 (1957), 495–542. MR 98796, DOI 10.2307/1969906
  • G. D. Mostow, Fully reducible subgroups of algebraic groups, Amer. J. Math. 78 (1956), 200–221. MR 92928, DOI 10.2307/2372490
  • Mitsuo Sugiura, Some remarks on duality theorems of Lie groups, Proc. Japan Acad. 43 (1967), 927–931. MR 252563
  • —, The Tannaka duality theorem for semisimple Lie groups and the unitary tricks, Manifolds and Lie Groups (Notre Dame, IN, 1980), Progr. Math., vol. 14, Birkhäuser, Boston, MA, 1981.
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 22E15, 20G05, 22E47
  • Retrieve articles in all journals with MSC: 22E15, 20G05, 22E47
Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 847-855
  • MSC: Primary 22E15; Secondary 20G05, 22E47
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1072344-X
  • MathSciNet review: 1072344