Reducibility of finite reflection groups

被引：2

作者：

Yu JianMing ^{[1
]}

Jiang GuangFeng ^{[2
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[2] Beijing Univ Chem Technol, Dept Math & Informat Sci, Fac Sci, Beijing 100029, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2012年 / 55卷 / 05期

基金：

中国国家自然科学基金;

关键词：

reflection groups; hyperplane arrangement; reducibility;

D O I：

10.1007/s11425-011-4341-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A finite (pseudo-)reflection group G naturally gives rise to a hyperplane arrangement, i.e., its reflection arrangement. We show that G is reducible if and only if its reflection arrangement is reducible.

引用

页码：947 / 948

页数：2

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