Weyl groups, lattices and geometric manifolds

Details Weyl groups, lattices and geometric manifolds Weyl groups, lattices and geometric manifolds

2008-02-21

arxiv.org/abs/0802.2981v1

Geom. Dedicata, 142 (2009) 1-21

Mathematics

Geometric Topology

18 pages

Scientific paper

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.

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