Coxeter systems for which the Brink-Howlett automaton is minimal
classification
🧮 math.GR
keywords
automatonminimalbrink-howlettcoxetersystemsarticleclassifyconjecture
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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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