论文标题
广义仙人掌基团的线性
Linearity of Generalized Cactus Groups
论文作者
论文摘要
仙人掌基团是基于对称组定义的，纯仙人掌组是仙人掌基团的特定亚组。 Mostovoy表明，嵌入右角的Coxeter组中的纯仙人掌基团。我们将此结果推广到与任意有限的Coxeter组相关的仙人掌组，并研究了广义仙人掌基团的某些表示，并推断了广义仙人掌基团的线性。
Cactus groups are traditionally defined based on symmetric groups, and pure cactus groups are particular subgroups of cactus groups. Mostovoy showed that pure cactus groups embed into right-angled Coxeter groups. We generalize this result to cactus groups associated with arbitrary finite Coxeter groups and we investigate some representations of generalized cactus groups and deduce the linearity of generalized cactus groups.
