Unimodality and Young's lattice

Dennis Stanton

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)41-53
Number of pages13
JournalJournal of Combinatorial Theory, Series A
Volume54
Issue number1
DOIs
StatePublished - 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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