125 citations · 759 across the 31 of their papers we have counts for
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math.RT2008★ 47 cited
Continuous crystals and Duistermaat-Heckman measure for Coxeter groups
Philippe Biane, Philippe Bougerol, Neil O'Connell
We introduce a notion of continuous crystal analogous, for general Coxeter groups, to the combinatorial crystals introduced by Kashiwara in representation theory of Lie algebras. W…
math.RT2004★ 89 cited
Littelmann paths and brownian paths
Philippe Biane, Philippe Bougerol, Neil O'Connell
We study some path transformations related to Littelmann path model and their applications to representation theory and Brownian motion in a Weyl chamber.