@article{c375df9ec4f44032a3af726f829f9fef,
title = "Conjectures P1-P15 for hyperbolic Coxeter groups of rank 3",
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-functions and Kazhdan-Lusztig cells for these Coxeter groups.",
keywords = "Conjectures P1-P15, Coxeter groups of rank 3, Two-sided cells, a-Functions",
author = "Jianwei Gao and Xun Xie",
note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",
year = "2021",
month = feb,
day = "1",
doi = "10.1016/j.jalgebra.2020.09.020",
language = "English",
volume = "567",
pages = "139--195",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
}