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

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dc.contributor.authorShibukawa, Genki
dc.date.accessioned2025-12-22T09:21:21Z
dc.date.issued2020
dc.description.abstractWe 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 the interpolation of Jack polynomials and intertwining relations for a kernel function for Jack polynomials.
dc.description.sponsorshipWe are grateful to Professor Masatoshi Noumi (Kobe University) for his helpful advice on our paper. We also wish to thank Professor Farrokh Atai for his valuable suggestions on Jack and interpolation Jack polynomials. Further, we thank the referees for their helpful comments. This work was supported by Grant-in-Aid for JSPS Fellows (Number 18J00233).
dc.identifier.citationNew Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials. Genki Shibukawa. SIGMA 16 (2020), 118, 11 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2020.118
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 05E05; 33C67; 43A90
dc.identifier.otherarXiv:2004.12875
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/211002
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleNew Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2020, том 16, випуск за цей рік