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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Generating sets for compact semisimple Lie groups

Author(s): Michael Field
Journal: Proc. Amer. Math. Soc. 127 (1999), 3361-3365.
MSC (1991): Primary 22E15
Posted: May 4, 1999
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Abstract | References | Similar articles | Additional information

Abstract: Let $\Gamma$ be a compact connected semisimple Lie group. We prove that the subset of $\Gamma^2$ consisting of pairs $(g, h)$ which topologically generate $\Gamma$ is Zariski open.


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Additional Information:

Michael Field
Affiliation: Department of Mathematics, University of Houston, Houston, Texas 77204-3476
Email: mf@uh.edu

DOI: 10.1090/S0002-9939-99-04959-X
PII: S 0002-9939(99)04959-X
Received by editor(s): September 24, 1997
Received by editor(s) in revised form: January 20, 1998
Posted: May 4, 1999
Additional Notes: This research was supported in part by NSF Grant DMS-1551704 and Texas Advanced Research Program Award 1127681
Communicated by: Roe W. Goodman
Copyright of article: Copyright 1999, American Mathematical Society


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