48 citations · 129 across the 9 of their papers we have counts for
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math.GR2015★ 2 cited
On inversion sets and the weak order in Coxeter groups
Christophe Hohlweg, Jean-Philippe Labbé
In this article, we investigate the existence of joins in the weak order of an infinite Coxeter group W. We give a geometric characterization of the existence of a join for a subse…
math.GR2013★ 14 cited
Lorentzian Coxeter systems and Boyd-Maxwell ball packings
Hao Chen, Jean-Philippe Labbé
In the recent study of infinite root systems, fractal patterns of ball packings were observed while visualizing roots in affine space. In this paper, we show that the observed frac…
math.GR2011★ 33 cited
Asymptotical behaviour of roots of infinite Coxeter groups
Christophe Hohlweg, Jean-Philippe Labbé, Vivien Ripoll
Let W be an infinite Coxeter group. We initiate the study of the set E of limit points of "normalized" positive roots (representing the directions of the roots) of W. We show that…