Name
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 An and Bn. 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 An and Bn. |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1007/PL00009428 | Discrete & Computational Geometry |
Field | DocType | Volume |
Topology,Combinatorics,Braid,Lattice (order),Partition lattice,Hyperplane,Recursion,Mathematics | Journal | 21 |
Issue | ISSN | Citations |
3 | 0179-5376 | 4 |
PageRank | References | Authors |
0.59 | 8 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Richard Ehrenborg | 1 | 233 | 48.40 |
| Margaret Readdy | 2 | 95 | 16.72 |