93 citations · 766 across the 42 of their papers we have counts for
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Jack polynomials with prescribed symmetry and some of their clustering properties
Patrick Desrosiers, Jessica Gatica
We study Jack polynomials in variables, with parameter , and having a prescribed symmetry with respect to two disjoint subsets of variables. For instance, these polynomials…
Evaluation and normalization of Jack superpolynomials
Patrick Desrosiers, Luc Lapointe, Pierre Mathieu
Two evaluation formulas are derived for the Jack superpolynomials. The evaluation formulas are expressed in terms of products of fillings of skew diagrams. One of these formulas is…
Classical symmetric functions in superspace
Patrick Desrosiers, Luc Lapointe, Pierre Mathieu
We present the basic elements of a generalization of symmetric function theory involving functions of commuting and anticommuting (Grassmannian) variables. These new functions, cal…
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…