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Representations of Lie Groups by Contact Transformations, II: Non-Compact Simple Groups

Published online by Cambridge University Press:  20 November 2018

Carl Herz
Carl Herz*
Affiliation:
Department of Mathematics and Statistics, McGill University, 805 Sherbrooke St. West, Montreal, Quebec, H3A 2K6
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Abstract

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If a Lie group acts faithfully as a transitive group of contact transformations of a compact manifold it is either compact with centre of dimension at most 1 or non-compact simple. The latter case is described

Résumé

Résumé

Si un groupe de Lie se présente comme groupe transitif de transformations de contact de variété compacte, alors il est ou compact de centre de dimension au plus un ou non-compact simple de centre fini. On décrit ce qui se passe dans le second cas.

Keywords

22E4622E15
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 45 , Issue 4 , 01 August 1993 , pp. 778 - 802
Copyright
Copyright © Canadian Mathematical Society 1993

References

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