A positivity conjecture for Jack polynomials
Combinatorics
2008-07-22 v2
Abstract
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.
Cite
@article{arxiv.math/0703487,
title = {A positivity conjecture for Jack polynomials},
author = {Michel Lassalle},
journal= {arXiv preprint arXiv:math/0703487},
year = {2008}
}
Comments
24 pages, LaTeX