Examples of continuous semisimple lie group actions not equivalent to smooth ones
Brief Communications
Received:
- 30 Downloads
Key words
Lie group continuous action Hilbert's fifth problemPreview
Unable to display preview. Download preview PDF.
References
- 1.G. E. Bredon,Introduction to Compact Transformation Groups, Academic Press, New York-London (1972).MATHGoogle Scholar
- 2.D. Montgomery and L. Zippin,Proc. Amer. Math. Soc.,5, 460–465 (1954).MATHCrossRefMathSciNetGoogle Scholar
- 3.E. G. Sklyarenko, “Hilbert's fifth problem,” in:Hilbert's Problems (P. S. Aleksandrov, editor) [in Russian], Nauka, Moscow (1969).Google Scholar
- 4.C. T. Yang,Proc. Sympos. Pure Math.,28, Pt. I, 142–146 (1976).Google Scholar
- 5.É. B. Vinberg and A. L. Onishchik, “Foundations of the Lie group theory,” in:Contemporary Problems in Mathematics. Fundamental Directions [in Russian], Vol. 20, Itogi Nauki i Tekhniki, VINITI, Moscow (1988); English translation inEncyclopedia of Math. Sci., Vol. 20, Springer-Verlag, Berlin.Google Scholar
- 6.É. B. Vinberg, V. V. Gorbatsevich, and A. L. Onishchik, “Structure of Lie groups and Lie algebras,” in:Contemporary Problems in Mathematics. Fundamental Directions [in Russian], Vol. 41, Itogi Nauki i Tekhniki, VINITI, Moscow (1988).Google Scholar
- 7.V. V. Gorbatsevich and A. L. Onishchik, “Transformation Lie Groups,” in:Contemporary Problems in Mathematics Fundamental Directions [in Russian], Vol. 20, Itogi Nauki i Tekhniki, VINITI, Moscow (1988); English translation inEncyclopedia of Math. Sci., Vol. 20, Springer-Verlag, Berlin.Google Scholar
- 8.A. G. Kushnirenko,Funktsional. Anal. i Prilozhen. [Functional Anal. Appl.]1, No. 1, 103–104. (1967).MATHCrossRefGoogle Scholar
- 9.V. I. Arnol'd,Additional Chapters in Theory of Ordinary Differential Equations [in Russian], Nauka, Moscow (1978).Google Scholar
- 10.R. I. Bogdanov,Transactions of the I. G. Petrovskii Seminar,17, 249–265 (1994).MathSciNetGoogle Scholar
Copyright information
© Kluwer Academic/Plenum Publishers 1999