Quaternionic hyperbolic lattices of minimal covolume
Metric Geometry
2022-05-26 v2 Geometric Topology
Abstract
For any n>1 we determine the uniform and nonuniform lattices of the smallest covolume in the Lie group Sp(n,1). We explicitly describe them in terms of the ring of Hurwitz integers in the nonuniform case with n even, respectively, of the icosian ring in the uniform case for all n>1.
Keywords
Cite
@article{arxiv.1802.07776,
title = {Quaternionic hyperbolic lattices of minimal covolume},
author = {Vincent Emery and Inkang Kim},
journal= {arXiv preprint arXiv:1802.07776},
year = {2022}
}
Comments
22 pages (11pt). Version 2 corrects the proof of lemma 5.6. To appear in Forum Math, Sigma