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Minimal actions of semisimple groups

Published online by Cambridge University Press:  19 September 2008

Garrett Stuck
Garrett Stuck
Affiliation:
Department of Mathematics, University of Maryland, College Park, MD 20742, USA
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Abstract

We show that a C0 minimal action of a semisimple Lie group without compact factors is either locally free or induced from a minimal action of a proper parabolic subgroup. We describe the orbit structure of the action restricted to a maximal compact subgroup, and then apply this to minimal actions in low dimension. We give some examples, applications, and open problems.

Type
Survey Article
Information
Ergodic Theory and Dynamical Systems , Volume 16 , Issue 4 , August 1996 , pp. 821 - 831
Copyright
Copyright © Cambridge University Press 1996

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References

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