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arxiv: 1803.09521 · v1 · pith:VRJE6AO4new · submitted 2018-03-26 · 🧮 math.CO

On the Tits cone of a Weyl groupoid

classification 🧮 math.CO
keywords weylarrangementsgroupoidrootsystemtitsaxiomscall
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We translate the axioms of a Weyl groupoid with (not necessarily finite) root system in terms of arrangements. The result is a correspondence between Weyl groupoids permitting a root system and Tits arrangements satisfying an integrality condition which we call the crystallographic property.

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