论文标题
与右角的下中央系列相关的Lie代数的分级组件
Graded components of the Lie algebra associated with the lower central series of a right-angled Coxeter group
论文作者
论文摘要
RGIHT角度的Coxeter组的下中央系列$ RC_ \ MATHCAL K $和相应的分级Lie代数$ L（RC_ \ Mathcal K）$与下中央系列相关的右角coxeter组相关。关系是在Lie代数$ L（RC_ \ Mathcal K）$的分级组件中获得的。描述了第四级组件$ L（RC_ \ Mathcal K）的基础，该组最多为4美元$ $。
The lower central series of the rgiht-angled Coxeter group $RC_\mathcal K$ and the corresponding graded Lie algebra $L(RC_\mathcal K)$ associated with the lower central series of a right-angled Coxeter group are studied. Relations are obtained in the graded components of the Lie algebra $L(RC_\mathcal K)$. A basis of the fourth graded component $L(RC_\mathcal K)$ for groups with at most $4$ generators was described.
