Sign types associated to posets
type: Item
instance of: scholarly article
title: Sign types associated to posets
zbMATH Open document ID: 0961.20037
author: Jian-yi Shi
published in: Journal of Combinatorial Theory. Series A
publication date: 1999-12-20T00:00:00Z
review text: The author gives a combinatorial definition of \(I\)-sign type of a poset, generalizing the sign types which are indexed by the root system of Weyl groups of type \(A_l\). The connection is made between the set \(D_p^I\) of \(I\)-sign types associated to the partial orders on \(I\), and other combinatorial objects such as polyhedral cones, digraphs and integer partitions.
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 05E25
Mathematics Subject Classification ID: 06A11
Mathematics Subject Classification ID: 20F55
zbMATH DE Number: 1356432
zbMATH Keywords: sign-types of posets
zbMATH Keywords: Weyl groups
zbMATH Keywords: root systems
zbMATH Keywords: polyhedral cones
zbMATH Keywords: digraphs
reviewed by: Herman J. Servatius
MaRDI profile type: Publication
full work available at URL: jcta.1999.2977
OpenAlex ID: W2003910067
cites work: Q5580319
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DOI: 10.1006/JCTA.1999.2977
description: scientific article; zbMATH DE number 1356432