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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.
Document Type: Artigo em Revista Científica Internacional
Rights: restrictedAccess
Appears in Collections:FCUP - Artigo em Revista Científica Internacional

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