Coxeter and crystallographic arrangements are inductively free

被引：18

作者：

Barakat, Mohamed ^{[1
]}

Cuntz, Michael ^{[1
]}

机构：

[1] Univ Kaiserslautern, Fachbereich Math, D-67653 Kaiserslautern, Germany

来源：

ADVANCES IN MATHEMATICS | 2012年 / 229卷 / 01期

关键词：

Arrangement of hyperplanes; Coxeter; Reflection; Inductively free;

D O I：

10.1016/j.aim.2011.09.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the classification of finite Weyl groupoids we prove that crystallographic arrangements, a large subclass of the class of simplicial arrangements which was recently defined, are hereditarily inductively free. In particular, all crystallographic reflection arrangements are hereditarily inductively free, among them the arrangement of type E-8. With little extra work we prove that also all Coxeter arrangements are inductively free. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：691 / 709

页数：19