On tilings defined by discrete reflection groups

Abstract

The recent articles of Waldspurger and Meinrenken contained the results of tilings formed by the sets of type $(1-w)C^{\circ }$, $w\in W$, where $W$ is a linear or affine Weyl group, and $C^{\circ }$ is an open kernel of a fundamental chamber $C$ of the group $W$. In this article we generalize these results to cocompact hyperbolic reflection groups. We also give more clear and simple proofs of the Waldspurger and Meinrenken theorems.

8 pages, 5 figures, to appear in Izvestiya RAN

References in corpus (1)

• Tilings defined by affine Weyl groups