Plancherel averages: Remarks on a paper by Stanley

Details Plancherel averages: Remarks on a paper by Stanley Plancherel averages: Remarks on a paper by Stanley

2009-05-08

arxiv.org/abs/0905.1304v2

Electr. J. Combin. 17 (2010), paper #R43, 16 pp.

Mathematics

Combinatorics

Latex, 16 pp. Version 2: minor corrections, references added

Scientific paper

Let M_n stand for the Plancherel measure on Y_n, the set of Young diagrams with n boxes. A recent result of 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 M_n depends on n polynomially. We propose two other proofs of this result together with a generalization to the Jack deformation of the Plancherel measure.

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