The lowest two-sided cell of weighted Coxeter groups of rank 3
arXiv:1901.00161
Abstract
In this paper, we give precise description for the lowest lowest two-sided cell c_{0} and the left cells in it for a weighted Coxeter group of rank 3. Then we show conjectures P1-P15 and \widetilde{P} hold for c_{0} and do some calculation for the based ring of c_{0}.
13 pages, 3 figures. arXiv admin note: text overlap with arXiv:1607.02286