English

Conjectures P1-P15 for hyperbolic Coxeter groups of rank 3

Representation Theory 2020-10-14 v2

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.

Keywords

Cite

@article{arxiv.1906.09451,
  title  = {Conjectures P1-P15 for hyperbolic Coxeter groups of rank 3},
  author = {Jianwei Gao and Xun Xie},
  journal= {arXiv preprint arXiv:1906.09451},
  year   = {2020}
}

Comments

40 pages, 2 figures