Hyperplane arrangements between Shi and Ish

• Type: Article in International Scientific Journal
• Date: 2018

Authors

Duarte, R (Author) Other; António Guedes de Oliveira (Author) FCUP

Journal

Title: Electronic Notes in Discrete Mathematics

Vol. 68

Pages: 269-274

ISSN: 1571-0653

Publisher: Elsevier

Indexing

Scopus - 0 Citations

Other information

Authenticus ID: P-00N-ZXD

DOI: 10.1016/j.endm.2018.06.046

Abstract (EN): We introduce a new family of hyperplane arrangements in dimension n¿3 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.

Language: English

Type (Professor's evaluation): Scientific