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math.GT2008★ 1 cited
Weyl groups, lattices and geometric manifolds
Brent Everitt, Robert B. Howlett
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 infini…
math.GT2007★ 1 cited
Homology of coloured posets: a generalisation of Khovanov's cube construction
Brent Everitt, Paul Turner
We define a homology theory for a certain class of posets equipped with a representation. We show that when restricted to Boolean lattices this homology is isomorphic to the homolo…