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arXiv · 2004.12875

New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials

Genki Shibukawa
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Abstract

We present new Pieri type formulas for Jack polynomials. As an application, we give a new derivation of higher order difference equations for interpolation Jack polynomials originally found by Knop and Sahi. We also propose Pieri formulas for interpolation Jack polynomials and intertwining relations for a kernel function for Jack polynomials.

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Genki Shibukawa. 2020-04-27. New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials. https://doi.org/10.3842/sigma.2020.118

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