5 citations · 17 across the 15 of their papers we have counts for
5 papers · 1 filter
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…
and generalized Bannai-Ito algebras
vincent X. Genest, Luc Lapointe, Luc Vinet
Generalizations of the (rank 1) Bannai-Ito algebra are obtained from a refinement of the grade involution of the Lie super algebra . A hyperoctahedral extensio…
Double Macdonald polynomials as the stable limit of Macdonald superpolynomials
O. Blondeau-Fournier, L. Lapointe, P. Mathieu
Macdonald superpolynomials provide a remarkably rich generalization of the usual Macdonald polynomials. The starting point of this work is the observation of a previously unnoticed…