A poset connected to Artin monoids of simply laced type

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:113

Article

Cohen, Arjeh M. ; Gijsbers, Die A. H. ; Wales, David B.

关键词: monoid representations;    BMW algebras;    posets;    root systems;    Artin groups;    Artin monoids;   

DOI  :  10.1016/j.jcta.2006.03.012

来源: Elsevier

【 摘 要 】

Let W be a Weyl group whose type is a simply laced Dynkin diagram. On several W-orbits of sets of mutually commuting reflections, a poset is described which plays a role in linear representations of the corresponding Artin group A. The poset generalizes many properties of the usual order on positive roots of W given by height. In this paper, a linear representation of the positive monoid of A is defined by use of the poset. (c) 2006 Published by Elsevier Inc.

【 授权许可】

Free