Mathematical Research Letters

Volume 15 (2008)

Number 4

A positivity conjecture for Jack polynomials

Pages: 661 – 681



Michel Lassalle (Université de Marne-la-Vallée)


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.

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