Climbing elements in finite Coxeter groups
Copyright policy )Climbing elements in finite Coxeter groups
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.
finite Coxeter systems, generalised associahedron, Group Theory (math.GR), climbing element, 510, non-crossing partition, Combinatorial aspects of groups and algebras, reflection sets, finite real reflection groups, Reflection and Coxeter groups (group-theoretic aspects), reduced expressions, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), total orders, climbing elements, Mathematics - Group Theory, Mathematics
finite Coxeter systems, generalised associahedron, Group Theory (math.GR), climbing element, 510, non-crossing partition, Combinatorial aspects of groups and algebras, reflection sets, finite real reflection groups, Reflection and Coxeter groups (group-theoretic aspects), reduced expressions, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), total orders, climbing elements, Mathematics - Group Theory, Mathematics
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