Algebraic characterization of the isometries of the hyperbolic 5-space
Geometric Topology
2010-02-05 v2 Dynamical Systems
Abstract
Using the representation of the isometries as 2x2 invertible matrices over the division algebra \H of quaternions, we give an algebraic characterization of the dynamical types of the orientation-preserving isometries of the hyperbolic 5-space. We also determine the conjugacy classes and the conjugacy classes of centralizers or the z-classes in .
Keywords
Cite
@article{arxiv.0808.3169,
title = {Algebraic characterization of the isometries of the hyperbolic 5-space},
author = {Krishnendu Gongopadhyay},
journal= {arXiv preprint arXiv:0808.3169},
year = {2010}
}
Comments
revised and reorganized version