English

Quaternionic Kleinian modular groups and arithmetic hyperbolic orbifolds over the quaternions

Geometric Topology 2015-03-26 v1 Differential Geometry

Abstract

Using the rings of Lipschitz and Hurwitz integers H(Z)\mathbb{H}(\mathbb{Z}) and Hur(Z)\mathbb{H}ur(\mathbb{Z}) in the quaternion division algebra H\mathbb{H}, we define several Kleinian discrete subgroups of PSL(2,H)PSL(2,\mathbb{H})

Keywords

Cite

@article{arxiv.1503.07214,
  title  = {Quaternionic Kleinian modular groups and arithmetic hyperbolic orbifolds over the quaternions},
  author = {Juan Pablo Díaz and Alberto Verjovsky and Fabio Vlacci},
  journal= {arXiv preprint arXiv:1503.07214},
  year   = {2015}
}

Comments

43 pages, 15 figures

R2 v1 2026-06-22T09:01:17.567Z