1 citations · 2 across the 4 of their papers we have counts for
4 papers
W-graph ideals and biideals
Robert B. Howlett, Van Minh Nguyen
We further develop the theory of -graph ideals, first introduced by the authors in reference [6]. We discuss -graph subideals, and induction and restriction of -grap…
W-graph ideals
Robert B. Howlett, Van M. Nguyen
We introduce a concept of a W-graph ideal in a Coxeter group. The main goal of this paper is to describe how to construct a W-graph from a given W-graph ideal. The principal applic…
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…
Reflections in abstract Coxeter groups
W. N. Franzsen, R. B. Howlett, B. Mühlherr
Let be a Coxeter group and a reflection. If the group of order 2 generated by is the intersection of all the maximal finite subgroups of that contain it, then…