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arXiv · 2103.03848

Isometries of the quaternionic hyperbolic line

Jaime L. O. Chamorro
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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'.

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Jaime L. O. Chamorro. 2021-03-05. Isometries of the quaternionic hyperbolic line. https://arxiv.org/abs/2103.03848

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