Comparing formulas for type \(GL_n\) Macdonald polynomials

DOI10.5802/alco.227zbMath1503.05122arXiv2104.02942OpenAlexW4308753271MaRDI QIDQ2097191

Weiying Guo, Arun Ram

Publication date: 11 November 2022

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

Full work available at URL: https://arxiv.org/abs/2104.02942

zbMATH Keywords

tableauxMacdonald polynomialsaffine Hecke algebras

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (1)

Comparing formulas for type \(GL_n\) Macdonald polynomials -- supplement

Cites Work

• A combinatorial formula for Macdonald polynomials
• On combinatorial formulas for MacDonald polynomials
• A recursion and a combinatorial formula for Jack polynomials
• Generalized Weyl modules and nonsymmetric \(q\)-Whittaker functions
• Affine Hecke algebras and generalized standard Young tableaux.
• Comparing formulas for type \(GL_n\) Macdonald polynomials -- supplement
• From multiline queues to Macdonald polynomials via the exclusion process
• A combinatorial formula for nonsymmetric Macdonald polynomials
• Integrality of two variable Kostka functions.
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