Weyl groups, lattices and geometric manifolds
Geometric Topology
2009-11-09 v1 Group Theory
Abstract
By studying the action of the Weyl group of a simple Lie algebra on its root lattice, we construct torsion free subgroups of small and explicitly determined index in a large infinite class of Coxeter groups. One spin-off is the construction of hyperbolic manifolds of very small volume in up to 8 dimensions.
Cite
@article{arxiv.0802.2981,
title = {Weyl groups, lattices and geometric manifolds},
author = {Brent Everitt and Robert B. Howlett},
journal= {arXiv preprint arXiv:0802.2981},
year = {2009}
}
Comments
18 pages