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- W4298034138 abstract "We establish recursions counting various classes of chains in the noncrossing partition lattice of a finite Coxeter group. The recursions specialize a general relation which is proven uniformly (i.e. without appealing to the classification of finite Coxeter groups) using basic facts about noncrossing partitions. We solve these recursions for each finite Coxeter group in the classification. Among other results, we obtain a simpler proof of a known uniform formula for the number of maximal chains of noncrossing partitions and a new uniform formula for the number of edges in the noncrossing partition lattice. All of our results extend to the m-divisible noncrossing partition lattice." @default.
- W4298034138 created "2022-10-01" @default.
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- W4298034138 date "2007-06-19" @default.
- W4298034138 modified "2023-09-29" @default.
- W4298034138 title "Chains in the noncrossing partition lattice" @default.
- W4298034138 doi "https://doi.org/10.48550/arxiv.0706.2778" @default.
- W4298034138 hasPublicationYear "2007" @default.
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