Please use this identifier to cite or link to this item: https://hdl.handle.net/10216/116990
Author(s): Duarte, R
António Guedes de Oliveira
Title: Hyperplane arrangements between Shi and Ish
Issue Date: 2018
Abstract: We introduce a new family of hyperplane arrangements in dimension n3 that includes both the Shi arrangement and the Ish arrangement. We prove that all the members of this family have the same number of regions the connected components of the complement of the union of the hyperplanes which can be bijectively labeled with the Pak-Stanley labelling. In addition, we characterise the Pak-Stanley labels of the regions of this family of hyperplane arrangements. © 2018 Elsevier B.V.
URI: https://repositorio-aberto.up.pt/handle/10216/116990
Document Type: Artigo em Revista Científica Internacional
Rights: restrictedAccess
Appears in Collections:FCUP - Artigo em Revista Científica Internacional

Files in This Item:
File Description SizeFormat 
299423.pdf
  Restricted Access
Hyperplane arrangements between Ish and Shi150.68 kBAdobe PDF    Request a copy from the Author(s)


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.