The facial weak order on hyperplane arrangements

Aram Dermenjian; Christophe Hohlwegz; Thomas McConville; Vincent Pilaud

The facial weak order on hyperplane arrangements

Aram Dermenjian
, Christophe Hohlwegz
, Thomas McConville
, Vincent Pilaud

York University
Universite du Quebec A Montreal
Massachusetts Institute of Technology

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We introduce the facial weak order of a real hyperplane arrangement A. It is a partial order on all faces of A which naturally extends the poset of regions of A. We provide various characterizations of the facial weak order and show that it is a lattice as soon as the poset of regions is a lattice.

langue originale	Anglais
Numéro d'article	14
journal	Seminaire Lotharingien de Combinatoire
Numéro de publication	84
état	Publié - 1 janv. 2020

Contient cette citation

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title = "The facial weak order on hyperplane arrangements",

abstract = "We introduce the facial weak order of a real hyperplane arrangement A. It is a partial order on all faces of A which naturally extends the poset of regions of A. We provide various characterizations of the facial weak order and show that it is a lattice as soon as the poset of regions is a lattice.",

keywords = "Hyperplane arrangements, poset of regions, zonotopes",

author = "Aram Dermenjian and Christophe Hohlwegz and Thomas McConville and Vincent Pilaud",

year = "2020",

month = jan,

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language = "English",

journal = "Seminaire Lotharingien de Combinatoire",

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AU - Dermenjian, Aram

AU - Hohlwegz, Christophe

AU - McConville, Thomas

AU - Pilaud, Vincent

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N2 - We introduce the facial weak order of a real hyperplane arrangement A. It is a partial order on all faces of A which naturally extends the poset of regions of A. We provide various characterizations of the facial weak order and show that it is a lattice as soon as the poset of regions is a lattice.

AB - We introduce the facial weak order of a real hyperplane arrangement A. It is a partial order on all faces of A which naturally extends the poset of regions of A. We provide various characterizations of the facial weak order and show that it is a lattice as soon as the poset of regions is a lattice.

KW - Hyperplane arrangements

KW - poset of regions

KW - zonotopes

M3 - Article

AN - SCOPUS:85169510914

SN - 1286-4889

JO - Seminaire Lotharingien de Combinatoire

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The facial weak order on hyperplane arrangements

Résumé

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