Michel Lassalle
Published 2007-03-16, updated 2007-03-26Version 2
We present a positivity conjecture for the coefficients of the development of Jack polynomials in terms of power sums. This extends Stanley's ex-conjecture about normalized characters of the symmetric group. We prove this conjecture for partitions having a rectangular shape.
Comments: 24 pages, LaTeX
Journal: Mathematical Research Letters 15 (2008), 661-681.
Two positivity conjectures for Kerov polynomials
On a positivity conjecture in the character table of $S_n$
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