报告题目:Conjectures P1-P15 for Coxeter groups with complete graph
报告人:谢迅 (北京理工大学)
时间:2020/10/26 16:00-17:00
地点: 精正楼307
报告摘要:
We prove Lusztig's conjectures P1-P15 for Coxeter groups with complete graph, using deceasing induction on a-values and a kind of decomposition formula of Kazhdan-Lusztig basis elements. As a byproduct, we can give a description of the left, right, and two-sided cells. These methods also work for right-angled Coxeter groups and hyperbolic Coxeter groups of rank 3.
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