Jack polynomials and free cumulants

@article{Lassalle2008JackPA,
  title={Jack polynomials and free cumulants},
  author={Michel Lassalle},
  journal={Advances in Mathematics},
  year={2008},
  volume={222},
  pages={2227-2269}
}
  • M. Lassalle
  • Published 4 February 2008
  • Mathematics
  • Advances in Mathematics
View PDF on arXiv
52 Citations
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52 Citations

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References

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A positivity conjecture for Jack polynomials

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…

A recursion and a combinatorial formula for Jack polynomials

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Kerov’s polynomials give irreducible character values in terms of the free cumulants of the associated Young diagram. We prove in this article a positivity result on their coefficients, which extends…

(Shifted) Macdonald polynomials: q-Integral representation and combinatorial formula

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Characters of symmetric groups and free cumulants

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