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math-ph2018
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…
math-ph2018
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…