Abstract

仿射Coxeter群(-B3,S)可以被看做仿射Coxeter群(-D4,-S)在满足条件α(-S)=-S的某种群自同构α下的不动点集合,设-l是-D4的长度函数,本文明显地刻画了加权Coxeter群(-B3,-l)的所有左胞腔.同时证明了:加权Coxeter群(-D4,-l)和(-B3,-l)的所有左胞腔都是左连通的,所有双边胞腔都是双边连通的。

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