5 citations · 8 across the 4 of their papers we have counts for
4 papers
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…
N>=2 symmetric superpolynomials
L. Alarie-Vézina, L. Lapointe, P. Mathieu
The theory of symmetric functions has been extended to the case where each variable is paired with an anticommuting one. The resulting expressions, dubbed superpolynomials, provide…
Ramond singular vectors and Jack superpolynomials
L. Alarie-Vezina, P. Desrosiers, P. Mathieu
The explicit formula for the superconformal singular vectors in the Neveu-Schwarz sector has been obtained recently, via its symmetric polynomial representation, as a sum of Jack s…