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New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials
Genki Shibukawa Department of Mathematics, Kobe University, Rokko, Kobe 657-8501, Japan
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.
Keywords:
Jack polynomial, interpolation Jack polynomial, Pieri formula, kernel function.
Received: April 29, 2020; in final form November 14, 2020; Published online November 21, 2020
Citation:
Genki Shibukawa, “New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials”, SIGMA, 16 (2020), 118, 11 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1656 https://www.mathnet.ru/eng/sigma/v16/p118
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Abstract page: | 66 | Full-text PDF : | 17 | References: | 14 |
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