The dual braid monoid

被引：185

作者：

Bessis, D ^{[1
]}

机构：

[1] Univ Lyon 1, CNRS, UMR 5028, Inst Girard Desargues, F-69622 Villeurbanne, France

来源：

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 2003年 / 36卷 / 05期

关键词：

D O I：

10.1016/j.ansens.2003.01.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a new monoid structure for Artin groups associated with finite Coxeter systems. Like the classical positive braid monoid, the new monoid is a Garside monoid. We give several equivalent constructions: algebraically, the new monoid arises when studying Coxeter systems in a "dual" way, replacing the pair (W, S) by (W, T), with T the set of all reflections; geometrically, it arises when looking at the reflection arrangement from a certain basepoint. In the type A case, we recover the monoid constructed by Birman, Ko and Lee. (C) 2003 Elsevier SAS.

引用

页码：647 / 683

页数：37

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