Mathematical Research Letters

Volume 15, Issue 4, July 2008 pp. 661-681.

A positivity conjecture for Jack polynomials

Authors: Michel Lassalle
Author institution: Université de Marne-la-Vallée

Summary: 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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