Conjectures P1-P15 for Coxeter groups with complete graph
Representation Theory
2020-09-03 v2
Abstract
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-Lusztig basis elements. As a byproduct, we give a description of the left, right, and two-sided cells. In the appendix, we prove P1-P15 for right-angled Coxeter groups by the same methods.
Keywords
Cite
@article{arxiv.1903.00078,
title = {Conjectures P1-P15 for Coxeter groups with complete graph},
author = {Xun Xie},
journal= {arXiv preprint arXiv:1903.00078},
year = {2020}
}
Comments
48 pages, in version 2, we add a new section \S9