145 citations · 1.2k across the 85 of their papers we have counts for
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Symmetric functions in superspace: a compendium of results and open problems (including a SageMath worksheet)
Ludovic Alarie-Vezina, Olivier Blondeau-Fournier, Patrick Desrosiers +2
We present a review of the most important results in the theory of symmetric functions in superspace (or symmetric superpolynomials), summarizing all principal contributions since…
Bernstein operators and super-Schur functions: combinatorial aspects
L. Alarie-Vézina, O. Blondeau-Fournier, L. Lapointe +1
The Bernstein vertex operators, which can be used to build recursively the Schur functions, are extended to superspace. Four families of super vertex operators are defined, corresp…
The N=2 supersymmetric Calogero-Sutherland model and its eigenfunctions
Ludovic Alarie-Vézina, Luc Lapointe, Pierre Mathieu
In a recent work, we have initiated the theory of N=2 symmetric superpolynomials. As far as the classical bases are concerned, this is a rather straightforward generalization of th…
A quartet of fermionic expressions for Virasoro characters via half-lattice paths
Olivier Blondeau-Fournier, Pierre Mathieu, Trevor A Welsh
We derive new fermionic expressions for the characters of the Virasoro minimal models by analysing the recently introduced half-lattice paths. These fermionic express…
The super-Virasoro singular vectors and Jack superpolynomials relationship revisited
O. Blondeau-Fournier, P. Mathieu, D. Ridout +1
A recent novel derivation of the representation of Virasoro singular vectors in terms of Jack polynomials is extended to the supersymmetric case. The resulting expression of a gene…
Schur Superpolynomials: Combinatorial Definition and Pieri Rule
Olivier Blondeau-Fournier, Pierre Mathieu
Schur superpolynomials have been introduced recently as limiting cases of the Macdonald superpolynomials. It turns out that there are two natural super-extensions of the Schur poly…