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arXiv · 1901.00161

The lowest two-sided cell of weighted Coxeter groups of rank 3

Jianwei Gao
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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}.

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Jianwei Gao. 2019-01-01. The lowest two-sided cell of weighted Coxeter groups of rank 3. https://arxiv.org/abs/1901.00161

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