Hyperbolic reflection groups associated to the quadratic forms $-3x_0^2 + x_1^2 + ... + x_n^2$
Group Theory
2010-09-29 v3
Abstract
We determine the maximal hyperbolic reflection groups associated to the quadratic forms , , and present the Coxeter schemes of their fundamental polyhedra. These groups exist in dimensions up to 13, and a proof is given that in higher dimensions these quadratic forms are not reflective.
Keywords
Cite
@article{arxiv.1007.2299,
title = {Hyperbolic reflection groups associated to the quadratic forms $-3x_0^2 + x_1^2 + ... + x_n^2$},
author = {John Mcleod},
journal= {arXiv preprint arXiv:1007.2299},
year = {2010}
}
Comments
16 pages, 7 figures