paper

Conjectures P1-P15 for hyperbolic Coxeter groups of rank 3

arXiv:1906.09451

Abstract

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 Coxeter groups.

40 pages, 2 figures

Conjectures P1-P15 for hyperbolic Coxeter groups of rank 3 · wovepaper