Weyl groups, lattices and geometric manifolds
classification
🧮 math.GT
math.GR
keywords
groupsmanifoldssmallweylactionalgebraclassconstruct
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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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