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- W4300579825 abstract "We define the notion of connectivity set for elements of any finitely generated Coxeter group. Then we define an order related to this new statistic and show that the poset is graded and each interval is a shellable lattice. This implies that any interval is Cohen-Macauley. We also give a Galois connection between intervals in this poset and a boolean poset. This allows us to compute the Mobius function for any interval." @default.
- W4300579825 created "2022-10-03" @default.
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- W4300579825 date "2005-09-13" @default.
- W4300579825 modified "2023-09-27" @default.
- W4300579825 title "Posets related to the connectivity set of Coxeter groups" @default.
- W4300579825 doi "https://doi.org/10.48550/arxiv.math/0509271" @default.
- W4300579825 hasPublicationYear "2005" @default.
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