ar X iv : m at h - ph / 0 50 90 39 v 1 1 9 Se p 20 05 JACK POLYNOMIALS IN SUPERSPACE : COMBINATORIAL ORTHOGONALITY
نویسندگان
چکیده
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, orthogonal with respect to a " physical " scalar product, introduced in [5] as eigenfunctions of a supersymmetric quantum mechanical many-body problem. The results of this article rely on generalizing (to include an extra parameter) the theory of classical symmetric functions in superspace developed recently.
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