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- W2103911131 abstract "We study complex hyperplane arrangements whose intersection lattices, known as the Dowling lattices, are a natural generalization of the partition lattice. We give a combinatorial description of the Dowling lattice via enriched partitions to obtain an explicit EL -labeling and then find a recursion for the flag h -vector in terms of weighted derivations. When the hyperplane arrangements are real they correspond to the braid arrangements A n and B n . By applying a result due to Billera and the authors, we obtain a recursive formula for the cd-index of the lattice of regions of the braid arrangements A n and B n ." @default.
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- W2103911131 date "1999-04-01" @default.
- W2103911131 modified "2023-10-18" @default.
- W2103911131 title "On Flag Vectors, the Dowling Lattice, and Braid Arrangements" @default.
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- W2103911131 doi "https://doi.org/10.1007/pl00009428" @default.
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