Mathematics – Representation Theory
Scientific paper
2009-11-19
Mathematics
Representation Theory
8 pages, 5 figures, to appear in Izvestiya RAN
Scientific paper
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.
Bibikov Pavel V.
Zhgoon Vladimir S.
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