有限反射群中对合产生的区间加赛德群
Interval Garside groups arising from involutions in finite reflection groups
AI总结：
研究有限反射群中对合产生的区间加赛德群，通过考克斯特群绝对序限制到特定格来识别研究，除$B_n$型外所得群同构于直角阿廷群，还探讨了有限复反射群相关情况。
AI中文摘要：
我们识别并研究了由考克斯特群上的绝对序限制到格$[1,w]_T$所产生的区间加赛德群，其中$w$是一个对合。第二作者之前已对使得$[1,w]_T$为格的那些对合$w$进行了分类；每个这样的对合都位于由$[1,w]_T$生成的抛物子群的中心。除了$B_n$型外，所得到的群同构于（可分解的）直角阿廷群。我们还研究了一些有限复反射群的情况，主要是秩为二的情况，取$w$为一个（不一定是对合的）中心元素。
英文摘要：
We identify and study the interval Garside groups arising from the restriction of the absolute order on a Coxeter group to a lattice $[1,w]_T$, where $w$ is an involution. Those involutions $w$ for which $[1,w]_T$ is a lattice were previously classified by the second author; every such involution lies in the center of the parabolic subgroup generated by $[1,w]_T$. Except in type $B_n$, the obtained groups are isomorphic to (decomposable) right-angled Artin groups. We also investigate the situation for some finite complex reflection groups, mostly in rank two, taking for $w$ a (not necessarily involutive) central element.
