Walls in Coxeter complexes
Walls in Coxeter complexes
复制标题
考克塞特建筑群的墙壁
DOI：
10.1007/bf01263535
复制
发表时间：
1994
影响因子：
0.5
通讯作者：
P. Abramenko
中科院分区：
文献类型：
--
作者：
P. Abramenko
本文的出发点是以下问题：哪些墙壁在Coxeter复杂的Coxeter复杂本身的权利？在有限Coxeter复形的情况下给出了这个问题的完整答案。在一般情况下，一个充分的标准（取决于条目的Coxeter矩阵）推导出这意味着一定类型的墙总是Coxeter复杂。研究了它们的Weyl群与原始Coxeter络合物的Weyl群之间的关系。此外，一些陈述是真实的所有墙壁证明更普遍的凸子复形的考克斯特复形。
The starting point of this paper was the following question: Which walls in Coxeter complexes are Coxeter complexes in their own right? A complete answer to this question is given in the case of finite Coxeter complexes. In general, a sufficient criterion (depending on the entries of the Coxeter matrix) is derived which implies that walls of a certain type are always Coxeter complexes. It is studied how their Weyl groups are related to those of the original Coxeter complexes. Additionally, some statements being true for all walls are proved more generally for convex subcomplexes of Coxeter complexes.