%0 Journal Article
%T Tilings defined by affine Weyl groups
%A Eckhard Meinrenken
%J Mathematics
%D 2008
%I arXiv
%X Let W be a Weyl group, presented as a crystallographic reflection group on a Euclidean vector space V, and C an open Weyl chamber. In a recent paper, Waldspurger proved that the images (id-w)(C), for Weyl group elements w, are all disjoint, and their union is the closed cone spanned by the positive roots. We show that similarly, if A is the Weyl alcove, the images (id-w)(A), for affine Weyl group elements w, are all disjoint, and their union is V.
%U http://arxiv.org/abs/0811.3880v2