A positivity conjecture for Jack polynomials

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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.
24 pages, LaTeX

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Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/165415

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703487
 http://arxiv.org/abs/math/0703487
 Mathematical Research Letters 15 (2008), 661-681.

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arXiv