REPRESENTATION AND CLASSIFICATION OF COXETER MONOIDS

被引：14
|
作者：
TSARANOV, SV [1 ]
机构：
[1] ACAD SCI USSR,INST SYST STUDIES,MOSCOW 117312,USSR
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 1990年 / 11卷 / 02期
关键词：
D O I：
10.1016/S0195-6698(13)80073-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The monoids under consideration are defined, abstractly by generators and relations in a similar way to Coxeter groups. They correspond to systems of minimal parabolic subgroups in BN-pairs or amalgams, and are related to chamber systems. More examples are connected with a notion of diagram geometry. The theory developed in this paper is aimed at a classification of monoids that have an attractor. The latter means that the corresponding group is finite. © 1990, Academic Press Inc. (London) Limited. All rights reserved.
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页码：189 / 204
页数：16
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