Algebraic characterization of isometries of the complex and the quaternionic hyperbolic spaces
Author:
Krishnendu Gongopadhyay
Journal:
Proc. Amer. Math. Soc. 141 (2013), 10171027
MSC (2010):
Primary 51M10; Secondary 15B57, 53C35
Published electronically:
July 26, 2012
MathSciNet review:
3003693
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Abstract 
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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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 W. S. Burnside and A. W. Patron, The theory of equations with an introduction to the theory of binary algebraic forms, Dublin University Press Series, 1881.
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 E. L. Rees, Graphical discussion of the roots of a quartic equation, Amer. Math. Monthly, 29, no. 2 (1922), pp. 5155. MR 1519936
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 L. H. Rowen, Polynomial Identities in Ring Theory, Pure and Applied Mathematics, Academic Press (London), 1980. MR 576061 (82a:16021)
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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/S000299392012114224
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 SERCDST FAST grant SR/FTP/MS004/2010.
Communicated by:
Michael Wolf
Article copyright:
© Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
