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Bounded joins of biclosed sets

Gao, Yibo et al.
arXiv (All) · Papers
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combinatorics
Dyer conjectured that the join of two biclosed sets of positive roots can be described by increasing Bruhat paths whose reflection labels belong to their union. We give a type-uniform proof of this conjecture for all finite Coxeter groups. More generally, for a $2$-coclosed set $C$ of positive roots
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