English

Maximal Discrete Subgroups of $SO^+(2,n+2)$

Number Theory 2021-09-09 v2

Abstract

We characterize the maximal discrete subgroups of SO+(2,n+2)SO^+(2,n+2), which contain the discriminant kernel of an even lattice, which contains two hyperbolic planes over Z\mathbb{Z}. They coincide with the normalizers in SO+(2,n+2)SO^+(2,n+2) and are given by the group of all integral matrices inside SO+(2,n+2)SO^+(2,n+2), whenever the underlying lattice is maximal even. Finally we deal with the irreducible root lattices as examples.

Keywords

Cite

@article{arxiv.2106.00529,
  title  = {Maximal Discrete Subgroups of $SO^+(2,n+2)$},
  author = {Aloys Krieg and Felix Schaps},
  journal= {arXiv preprint arXiv:2106.00529},
  year   = {2021}
}
R2 v1 2026-06-24T02:42:44.654Z