Algebraic characterization of isometries of the complex and the quaternionic hyperbolic -spaces

Author:
Krishnendu Gongopadhyay

Journal:
Proc. Amer. Math. Soc. **141** (2013), 1017-1027

MSC (2010):
Primary 51M10; Secondary 15B57, 53C35

Published electronically:
July 26, 2012

MathSciNet review:
3003693

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Abstract | References | Similar Articles | Additional Information

Abstract: Let denote the three dimensional hyperbolic space over , where denotes either the complex numbers or the quaternions . We offer an algebraic characterization of isometries of .

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Additional Information

**Krishnendu Gongopadhyay**

Affiliation:
Indian Institute of Science Education and Research (IISER) Mohali, Knowledge City, S.A.S. Nagar, Sector 81, Mohali 140306, India

Email:
krishnendug@gmail.com

DOI:
http://dx.doi.org/10.1090/S0002-9939-2012-11422-4

Keywords:
Isometry,
complex and quaternionic hyperbolic space,
classification

Received by editor(s):
March 31, 2011

Received by editor(s) in revised form:
July 24, 2011

Published electronically:
July 26, 2012

Additional Notes:
The author gratefully acknowledges the support of SERC-DST FAST grant SR/FTP/MS-004/2010.

Communicated by:
Michael Wolf

Article copyright:
© Copyright 2012
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.