Representations of Lie Groups by Contact Transformations, II: Non-Compact Simple Groups
Canadian journal of mathematics, Tome 45 (1993) no. 4, pp. 778-802

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If a Lie group acts faithfully as a transitive group of contact transformationsof a compact manifold it is either compact with centre of dimension at most 1or non-compact simple. The latter case is described
DOI : 10.4153/CJM-1993-044-x
Mots-clés : 22E46, 22E15
Herz, Carl. Representations of Lie Groups by Contact Transformations, II: Non-Compact Simple Groups. Canadian journal of mathematics, Tome 45 (1993) no. 4, pp. 778-802. doi: 10.4153/CJM-1993-044-x
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Cartan, E. (1893), Sur la structure des groupes simples finis et continus C. R. Acad. Sci. Paris 116, 784–786. Google Scholar

Engel, F. (1893), Sur un groupe simple quatorze paramètres, C. R. Acad. Sci. Paris 116, 786–788. Google Scholar

Freudenthal, H. and deVries, H. (1969), Linear Lie Groups, Academic Press, New York and London. Google Scholar

Herz, C. (1991), Representations of Lie groups by contact transformations, I: Compact Groups, Canad. Math. Bull. 33, 369–375. Google Scholar

Steenrod, N. (1951), The Topology of Fibre Bundles, Princeton University Press, Princeton. Google Scholar

Warner, G. (1972), Harmonie Analysis on Semi-Simple Lie Groups I, Springer-Verlag, New York-Heidelberg- Berlin. Google Scholar

Wolf, J. A. (1978), Representations associated to minimal co-adjoint orbits, Differential and Geometric methods in mathematical physics, II, 329-349, Lecture Notes in Math. Springer, Berlin. Google Scholar

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