Houcine Ben Dali

collaborators

3 papers

math.CO2025

Path operators and $(q, t)$ -tau functions

Houcine Ben Dali, Valentin Bonzom, Maciej Dołęga

We construct a new class of operators that act on symmetric functions with two deformation parameters $q$ and $t$ . Our combinatorial construction associates each operator with a sp…

math.CO2023

A note on the map expansion of Jack polynomials

Houcine Ben Dali

In a recent work, Maciej Dołe\k{}ga and the author have given a formula of the expansion of the Jack polynomial $J_{λ}^{(α)}$ in the power-sum basis as a non-orientability generating…

math.CO2023

Positive formula for Jack polynomials, Jack characters and proof of Lassalle's conjecture

Houcine Ben Dali, Maciej Dołęga

We give an explicit formula for the power-sum expansion of Jack polynomials. We deduce it from a more general formula, which we provide here, that interprets Jack characters in ter…

Path operators and (q,t)-tau functions

A note on the map expansion of Jack polynomials

Positive formula for Jack polynomials, Jack characters and proof of Lassalle's conjecture

Path operators and $(q, t)$ -tau functions