2 papers
math.RT2019
Conjectures P1-P15 for hyperbolic Coxeter groups of rank 3
Jianwei Gao, Xun Xie
We prove Lusztig's conjectures P1-P15 for hyperbolic Coxeter groups of rank 3. Our proof enables us to give a description of the a-function and Kazhdan-Lusztig cells for these Coxe…
math.RT2019
Conjectures P1-P15 for Coxeter groups with complete graph
Xun Xie
We prove Lusztig's conjectures P1-P15 for Coxeter groups with complete graph, using deceasing induction on -values and a kind of decomposition formula of Kazhdan-Lusz…