Between Shi and Ish

Please use this identifier to cite or link to this item: https://hdl.handle.net/10216/116995

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DC Field	Value	Language
dc.creator	Duarte, R
dc.creator	António Guedes de Oliveira
dc.date.accessioned	2022-09-09T01:02:16Z	-
dc.date.available	2022-09-09T01:02:16Z	-
dc.date.issued	2018
dc.identifier.issn	0012-365X
dc.identifier.other	sigarra:215881
dc.identifier.uri	https://hdl.handle.net/10216/116995	-
dc.description.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 a given subfamily 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 labeling. In addition, we show that, in the cases of the Shi and the Ish arrangements, the number of labels with reverse centers of a given length is equal, and conjecture that the same happens with all of the members of the family.
dc.language.iso	eng
dc.rights	restrictedAccess
dc.title	Between Shi and Ish
dc.type	Artigo em Revista Científica Internacional
dc.contributor.uporto	Faculdade de Ciências
dc.identifier.doi	10.1016/j.disc.2017.09.006
dc.identifier.authenticus	P-00N-2PF
Appears in Collections:	FCUP - Artigo em Revista Científica Internacional

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