Solution of a Sperner conjecture of Stanley with a construction of Gelfand
type: Item
instance of: scholarly article
title: Solution of a Sperner conjecture of Stanley with a construction of Gelfand
zbMATH Open document ID: 0727.05002
DOI: 10.1016/0097-3165(90)90032-R
author: Robert A. Proctor
published in: Journal of Combinatorial Theory. Series A
publication date: 1990-01-01T00:00:00Z
review text: A conjecture of Stanley states that the lattice of bounded column strict plane partitions of fixed shape is Sperner. The author has proved this conjecture using his previous general \(S\ell (3)\) method combined with an explicit construction of \(g\ell (n)\) modules due to Gelfand and Zetlin. It is also proved that under certain conditions the quotient of a Peck poset by a group action is Peck.
Mathematics Subject Classification ID: 05A17
zbMATH DE Number: 4200206
zbMATH Keywords: Sperner property
zbMATH Keywords: conjecture of Stanley
zbMATH Keywords: column strict plane partitions
zbMATH Keywords: Peck poset
Wikidata QID: Q123324954
MaRDI profile type: Publication
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full work available at URL: 0097-3165(90)90032-r
OpenAlex ID: W2009561733
description: scientific article; zbMATH DE number 4200206