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math.CO2004★ 1 cited
Symmetric functions in superspace
P. Desrosiers, L. Lapointe, P. Mathieu
We construct a generalization of the theory of symmetric functions involving functions of commuting and anticommuting (Grassmannian) variables. These new functions, called symmetri…
hep-th2004
Jack superpolynomials: physical and combinatorial definitions
Patrick Desrosiers, Luc Lapointe, Pierre Mathieu
Jack superpolynomials are eigenfunctions of the supersymmetric extension of the quantum trigonometric Calogero-Moser-Sutherland. They are orthogonal with respect to the scalar prod…