Isometries of the quaternionic hyperbolic line
Differential Geometry
2021-08-30 v2
Abstract
We give a classification of the matrices in the unitary group U(1,1;H),where H is the division ring of the real quaternions. To this end, we consider the complex representation phi(P) for P in U(1,1;H). Next, we compute the characteristic polynomial f of the 4x4 complex matrix phi(P) and then study the sign of the resultant of f and its derivative f'.
Cite
@article{arxiv.2103.03848,
title = {Isometries of the quaternionic hyperbolic line},
author = {Jaime L. O. Chamorro},
journal= {arXiv preprint arXiv:2103.03848},
year = {2021}
}