Type A partially-symmetric Macdonald polynomials

DOI10.5802/alco.388MaRDI QIDQ6662813

Ben Goodberry

Publication date: 14 January 2025

Published in: Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

affine Hecke algebrasYoung diagramsnonsymmetric Macdonald polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Cites Work

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• Nonsymmetric interpolation Macdonald polynomials and \({\mathfrak {gl}}_n\) basic hypergeometric series
• Symmetric and non-symmetric quantum Capelli polynomials
• The \(\mathbb{A}_{q,t}\) algebra and parabolic flag Hilbert schemes
• Pieri-Type Formulas for Nonsymmetric Macdonald Polynomials
• A combinatorial formula for nonsymmetric Macdonald polynomials
• Integrality of two variable Kostka functions.
• Monk rules for type \(\mathrm{GL}_n\) Macdonald polynomials

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