A positivity conjecture for Jack polynomials

• Autores: Michel Lassalle
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 15, Nº 4, 2008, págs. 661-681
• Idioma: inglés
• DOI: 10.4310/mrl.2008.v15.n4.a6
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• Resumen

  • 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.