On flag vectors, the dowling lattice, and braid arrangements
type: Item
instance of: scholarly article
title: On flag vectors, the dowling lattice, and braid arrangements
zbMATH Open document ID: 0941.52021
DOI: 10.1007/PL00009428
author: Richard Ehrenborg
author: Margaret A. Readdy
published in: Discrete \& Computational Geometry
publication date: 2000-07-31T00:00:00Z
review text: Complex hyperplane arrangements whose intersections are Dowling lattices are studied. A combinatorial description of the Dowing lattice via enriched partitions are given. As a result an explicit \(EL\)-labeling and a recursion for the flag \(h\)-vector in terms of weighted derivations are obtained. If the hyperplane arrangements are real they correspond to braid arrangements \(A_n\) and \(B_n.\) By applying a result due to Billera and others a recursive formula for the \(cd\)-index of the lattice of regions of the braid arrangements \(A_n\) and \(B_n\) are found.
Mathematics Subject Classification ID: 52C35
zbMATH DE Number: 1292413
zbMATH Keywords: labelled rooted tree
zbMATH Keywords: cubical complex
zbMATH Keywords: \(h\)-vector
zbMATH Keywords: flag complex
zbMATH Keywords: star shelling
reviewed by: Alexander Mednykh
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1292413