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Paper detail

Orthogonality of Jack polynomials in superspace

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 an ``analytical'' scalar product, introduced in hep-th/0209074 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 in math.CO/0509408

preprint2006arXivOpen access
Patrick DesrosiersLuc LapointePierre Mathieu
math.COmath-phmath.MP
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Patrick DesrosiersLuc LapointePierre Mathieu

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