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arxiv: 1005.0775 · v1 · submitted 2010-05-05 · 🧮 math.CO · math.GR

Climbing elements in finite coxeter groups

classification 🧮 math.CO math.GR
keywords climbingcoxeterelementelementsfiniteorderreflectiontotal
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We define the notion of a climbing element in a finite real reflection group relative to a total order on the reflection set and we characterise these elements in the case where the total order arises from a bipartite Coxeter element.

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