Conjectures P1-P15 for Coxeter groups with complete graph
Conjectures P1-P15 for Coxeter groups with complete graph
复制标题
DOI：
10.1016/j.aim.2021.107565
复制
发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Xun Xie
中科院分区：
文献类型：
--
作者：
Xun Xie
We prove Lusztig’s conjectures P1-P15 for Coxeter groups with complete graph, using decreasing induction on a-values and a kind of factorization formula of Kazhdan-Lusztig basis elements. As a byproduct, we give a description of the left, right, and two-sided cells. In the appendix, we prove P1-P15 for right-angled Coxeter groups by the same methods.
