48 citations · 136 across the 7 of their papers we have counts for
7 papers
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…
The supersymmetric Ruijsenaars-Schneider model
Olivier Blondeau-Fournier, Patrick Desrosiers, Pierre Mathieu
An integrable supersymmetric generalization of the trigonometric Ruijsenaars-Schneider model is presented whose symmetry algebra includes the super Poincaré algebra. Moreover, its…
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…
Macdonald polynomials in superspace as eigenfunctions of commuting operators
O. Blondeau-Fournier, P. Desrosiers, L. Lapointe +1
A generalization of the Macdonald polynomials depending upon both commuting and anticommuting variables has been introduced recently. The construction relies on certain orthogonali…
Orthogonality of Jack polynomials in superspace
Patrick Desrosiers, Luc Lapointe, Pierre Mathieu
Jack polynomials in superspace, orthogonal with respect to a ``combinatorial'' scalar product, are constructed. They are shown to coincide with the Jack polynomials in superspace,…
Jack polynomials in superspace
P. Desrosiers, L. Lapointe, P. Mathieu
This work initiates the study of {\it orthogonal} symmetric polynomials in superspace. Here we present two approaches leading to a family of orthogonal polynomials in superspace th…