Unimodality and Young's lattice

Dennis Stanton

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


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
Issue number1
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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