A positivity conjecture for Jack polynomials

Details A positivity conjecture for Jack polynomials A positivity conjecture for Jack polynomials

2007-03-16

arxiv.org/abs/math/0703487v2

Mathematical Research Letters 15 (2008), 661-681.

Mathematics

Combinatorics

24 pages, LaTeX

Scientific paper

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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