On tilings related to discrete reflection groups

被引：1

作者：

Bibikov, P. V. ^{[1
]}

Zhgoon, V. S. ^{[2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow, Russia

[2] RAS, Sci Res Inst Syst Studies, Moscow, Russia

来源：

IZVESTIYA MATHEMATICS | 2009年 / 73卷 / 06期

关键词：

discrete reflection group; fundamental chamber; dual cone; Brouwer fixed-point theorem;

D O I：

10.1070/IM2009v073n06ABEH002474

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We get simpler proofs of theorems of Waldspurger and Meinrenken on tilings formed by sets of the form (1 - w)C degrees, w is an element of W where W is a linear or affine Weyl group and C degrees is the open kernel of a fundamental chamber C of W. we also generalize these results to cocompact hyperbolic reflection groups.

引用

页码：1101 / 1109

页数：9