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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	14
Journal	Seminaire Lotharingien de Combinatoire
Issue number	84
Publication status	Published - 1 Jan 2020

Keywords

Hyperplane arrangements
poset of regions
zonotopes

Cite this

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

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KW - poset of regions

KW - zonotopes

M3 - Article

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JO - Seminaire Lotharingien de Combinatoire

JF - Seminaire Lotharingien de Combinatoire

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The facial weak order on hyperplane arrangements

Abstract

Keywords

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