A positivity conjecture on the structure constants of shifted Jack functions

Per Alexandersson, Valentin Féray

We consider Jack polynomials $J_{\lambda }$ and their shifted analogue $J^#_λ$. In 1989, Stanley conjectured that $⟨J_{\mu }{J}_{\nu },J_{\lambda }⟩$ is a polynomial with nonnegative coefficients…