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- W2519480010 abstract "In this article we give a simple, almost uniform proof that the lattice of noncrossing partitions associated with a well-generated complex reflection group is lexicographically shellable. So far a uniform proof is available only for Coxeter groups. In particular we show that, for any complex reflection group $W$ and any element $xin W$, every $x$-compatible reflection order is a recursive atom order of the corresponding interval in absolute order. Since any Coxeter element $gamma$ in any well-generated complex reflection group admits a $gamma$-compatible reflection order, the lexicographic shellability follows from a well-known result due to Bjorner and Wachs." @default.
- W2519480010 created "2016-09-23" @default.
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- W2519480010 date "2014-05-14" @default.
- W2519480010 modified "2023-09-27" @default.
- W2519480010 title "On Reflection Orders Compatible with a Coxeter Element" @default.
- W2519480010 hasPublicationYear "2014" @default.
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