Skip to Main content Skip to Navigation
Journal articles

Jack polynomials and free cumulants

Abstract : We study the coefficients in the expansion of Jack polynomials in terms of power sums. We express them as polynomials in the free cumulants of the transition measure of an anisotropic Young diagram. We conjecture that such polynomials have nonnegative integer coefficients. This extends recent results about normalized characters of the symmetric group. (C) 2009 Elsevier Inc. All rights reserved.
Document type :
Journal articles
Complete list of metadatas

https://hal-upec-upem.archives-ouvertes.fr/hal-00693542
Contributor : Michel Lassalle <>
Submitted on : Wednesday, May 2, 2012 - 5:57:55 PM
Last modification on : Wednesday, February 26, 2020 - 7:06:06 PM

Links full text

Identifiers

Citation

Michel Lassalle. Jack polynomials and free cumulants. Advances in Mathematics, Elsevier, 2009, 222 (6), pp.2227--2269. ⟨10.1016/j.aim.2009.07.007⟩. ⟨hal-00693542⟩

Share

Metrics

Record views

226