Commuting isometries of the complex hyperbolic space
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- by Wensheng Cao and Krishnendu Gongopadhyay PDF
- Proc. Amer. Math. Soc. 139 (2011), 3317-3326 Request permission
Abstract:
Let $H_{\mathbb {C}}^n$ denote the complex hyperbolic space of dimension $n$. The group $U(n,1)$ acts as the group of isometries of $H_{\mathbb {C}}^n$. In this paper we investigate when two isometries of the complex hyperbolic space commute. Along the way we determine the centralizers.References
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Additional Information
- Wensheng Cao
- Affiliation: School of Mathematics and Computational Science, Wuyi University, Jiangmen, Guangdong 529020, People’s Republic of China
- Email: wenscao@yahoo.com.cn
- Krishnendu Gongopadhyay
- Affiliation: Indian Institute of Science Education and Research (IISER) Mohali, Transit Campus: MGSIPAP Complex, Sector-26, Chandigarh 160019, India
- MR Author ID: 866190
- Email: krishnendu@iisermohali.ac.in, krishnendug@gmail.com
- Received by editor(s): January 26, 2010
- Received by editor(s) in revised form: January 27, 2010, and August 21, 2010
- Published electronically: February 11, 2011
- Additional Notes: The first author was supported by the NSF of China (No. 10801107) and the NSF of Guangdong Province (No. 8452902001000043)
- Communicated by: Michael Wolf
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 3317-3326
- MSC (2010): Primary 51M10; Secondary 51F25, 20G20
- DOI: https://doi.org/10.1090/S0002-9939-2011-10796-2
- MathSciNet review: 2811286