Hyperplane arrangements between Shi and Ish

• Tipo: Artigo em Revista Científica Internacional
• Data: 2018

Autores

Duarte, R (Autor) Outra; António Guedes de Oliveira (Autor) FCUP

Revista

Título: Electronic Notes in Discrete Mathematics

Vol. 68

Páginas: 269-274

ISSN: 1571-0653

Editora: Elsevier

Indexação

Scopus - 0 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica