%0 Journal Article
%T Weyl groups, lattices and geometric manifolds
%A Brent Everitt
%A Robert B. Howlett
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0802.2981v1