Branching rules for Koornwinder polynomials with one column diagrams and matrix inversions

DOI10.3842/SIGMA.2020.084zbMath1455.33010arXiv2002.02148MaRDI QIDQ2217960

Ayumu Hoshino, Jun'ichi Shiraishi

Publication date: 12 January 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.02148

zbMATH Keywords

Koornwinder polynomial\(q\)-Toda eigenfunctiondegeneration schemeKostka polynomial of type \(B_n\)

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (3)

Specializing Koornwinder polynomials to Macdonald polynomials of type \(B\), \(C\), \(D\) and \(BC\) ⋮ Branching formula for \(q\)-Toda functions of type B ⋮ An elliptic hypergeometric function approach to branching rules

Cites Work

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• Some conjectures for Macdonald polynomials of type \(B,C,D\)
• Orthogonal polynomials associated with root systems
• Macdonald polynomials of type \(C_n\) with one-column diagrams and deformed Catalan numbers
• Some transformation formulas associated with Askey-Wilson polynomials and Lassalle's formulas for Macdonald-Koornwinder polynomials
• Macdonald polynomials, Laumon spaces and perverse coherent sheaves
• A Matrix Inverse
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• Bounded Littlewood identities

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