Unimodality and Young's lattice

Dennis Stanton

doi:10.1016/0097-3165(90)90004-G

Unimodality and Young's lattice

Dennis Stanton

Mathematics

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

16 Scopus citations

Abstract

Young's lattice of a partition λ consists of all partitions whose Ferrers diagrams fit inside λ. Several infinite families of partitions are given whose Young's lattice is not rank unimodal. Some related problems are discussed.

Original language	English (US)
Pages (from-to)	41-53
Number of pages	13
Journal	Journal of Combinatorial Theory, Series A
Volume	54
Issue number	1
DOIs	https://doi.org/10.1016/0097-3165(90)90004-G
State	Published - May 1990

Bibliographical note

Funding Information:
*This work was partially supported by a fellowship from the Sloan Foundation and by NSF Grants DMS 8500958 and DMS 8700995.

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title = "Unimodality and Young's lattice",

abstract = "Young's lattice of a partition λ consists of all partitions whose Ferrers diagrams fit inside λ. Several infinite families of partitions are given whose Young's lattice is not rank unimodal. Some related problems are discussed.",

author = "Dennis Stanton",

note = "Funding Information: *This work was partially supported by a fellowship from the Sloan Foundation and by NSF Grants DMS 8500958 and DMS 8700995.",

year = "1990",

month = may,

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AB - Young's lattice of a partition λ consists of all partitions whose Ferrers diagrams fit inside λ. Several infinite families of partitions are given whose Young's lattice is not rank unimodal. Some related problems are discussed.

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JO - Journal of Combinatorial Theory - Series A

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Unimodality and Young's lattice

Abstract

Bibliographical note

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