Discrete & Computational Geometry

, Volume 21, Issue 3, pp 389–403 | Cite as

On Flag Vectors, the Dowling Lattice, and Braid Arrangements

  • R. Ehrenborg
  • M. A. Readdy


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 .


Natural Generalization Recursive Formula Intersection Lattice Hyperplane Arrangement Combinatorial Description 
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Copyright information

© Springer-Verlag New York Inc. 1999

Authors and Affiliations

  • R. Ehrenborg
    • 1
  • M. A. Readdy
    • 1
  1. 1.Department of Mathematics, Cornell University, White Hall, Ithaca, NY 14853-7901, USA, readdy@math.cornell.eduUS

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