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Proof of Cellini’s conjecture on self-avoiding paths in Coxeter groups
Published online by Cambridge University Press: 30 November 2011
Abstract
This note proves Cellini’s conjecture that, in a Coxeter system (W,S) with reflections T, the T-increasing paths in W are self-avoiding. Here, a T-increasing path is a sequence v,t1v,…,tn⋯t1v in W with ti∈T and t1≺⋯≺tn in a reflection order ⪯ of T.
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- Research Article
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- Copyright © Foundation Compositio Mathematica 2011
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