On flag Vectors, the Dowling lattice, and braid arrangements

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8 Scopus citations


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.

Original languageEnglish
Pages (from-to)389-403
Number of pages15
JournalDiscrete and Computational Geometry
Issue number3
StatePublished - Apr 1999

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics


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