Generating sets for compact semisimple Lie groups
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- by Michael Field PDF
- Proc. Amer. Math. Soc. 127 (1999), 3361-3365 Request permission
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.References
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Additional Information
- Michael Field
- Email: mf@uh.edu
- Received by editor(s): September 24, 1997
- Received by editor(s) in revised form: January 20, 1998
- Published electronically: 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 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 3361-3365
- MSC (1991): Primary 22E15
- DOI: https://doi.org/10.1090/S0002-9939-99-04959-X
- MathSciNet review: 1618662