On a four-generator Coxeter group.
On a subgroup of the affine Weyl group .
On an open problem of Green and Losonczy: exact enumeration of freely braided permutations.
On connectedness of graphs on direct product of Weyl groups
In this paper, we have studied the connectedness of the graphs on the direct product of the Weyl groups. We have shown that the number of the connected components of the graph on the direct product of the Weyl groups is equal to the product of the numbers of the connected components of the graphs on the factors of the direct product. In particular, we show that the graph on the direct product of the Weyl groups is connected iff the graph on each factor of the direct product is connected.
On connectedness of graphs on Weyl groups of type ()
On irreducible, infinite, nonaffine Coxeter groups
The following results are proved: The center of any finite index subgroup of an irreducible, infinite, nonaffine Coxeter group is trivial; Any finite index subgroup of an irreducible, infinite, nonaffine Coxeter group cannot be expressed as a product of two nontrivial subgroups. These two theorems imply a unique decomposition theorem for a class of Coxeter groups. We also prove that the orbit of each element other than the identity under the conjugation action in an irreducible, infinite, nonaffine...
On Outer Automorphism Groups of Coxeter Groups.
On special pieces in the unipotent variety.
On the “Bruhat graph” of a Coxeter system
On the excedance number of colored permutation groups.
On the graph on a Weyl group being an interval graph.
On the inverse braid and reflection monoids of type .
On the reflection representation in Springer's theory.
On the volumes of hyperbolic 5-orthoschemes and the Trilogarithm.