Plancherel averages: Remarks on a paper by Stanley

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Abstract

Let Mn stand for the Plancherel measure on Yn, the set of Young diagrams with n boxes. A recent result of R. P. Stanley (arXiv:0807.0383) says that for certain functions G defined on the set Y of all Young diagrams, the average of G with respect to Mn depends on n polynomially. We propose two other proofs of this result together with a generalization to the Jack deformation of the Plancherel measure.

Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalElectronic Journal of Combinatorics
Volume17
Issue number1
DOIs
Publication statusPublished - 2010
Externally publishedYes

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