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The lowest two-sided cell of weighted Coxeter groups of rank 3 (1901.00161v3)
Published 1 Jan 2019 in math.RT
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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