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arXiv · 1811.06759

Coxeter systems for which the Brink-Howlett automaton is minimal

James Parkinson·Yeeka Yau
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Abstract

In this article we classify the Coxeter systems for which the Brink-Howlett automaton is minimal. We show that this automaton is minimal if and only if each elementary root is supported on a standard spherical subsystem, thereby resolving a conjecture of Hohlweg, Nadeau and Williams.

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James Parkinson, Yeeka Yau. 2018-11-16. Coxeter systems for which the Brink-Howlett automaton is minimal. https://arxiv.org/abs/1811.06759

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