Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/24131
Title: | Hyperplane arrangements between Shi and Ish |
Author: | Duarte, Rui Guedes de Oliveira, António |
Keywords: | Hyperplane arrangements Shi arrangement Ish arrangement Pak-Stanley labelling Parking functions |
Issue Date: | Jul-2018 |
Publisher: | Elsevier |
Abstract: | 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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/24131 |
DOI: | 10.1016/j.endm.2018.06.046 |
ISSN: | 1571-0653 |
Publisher Version: | https://www.sciencedirect.com/science/article/pii/S1571065318301379 |
Appears in Collections: | CIDMA - Artigos AGG - Artigos DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
abstract3.pdf | 150.68 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.