Expanding the quasisymmetric Macdonald polynomials in the fundamental basis

DOI10.5802/alco.289arXiv2010.15906OpenAlexW3097697674MaRDI QIDQ6088381

Austin Roberts, Olya Mandelshtam, Sylvie Corteel

Publication date: 14 December 2023

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

Full work available at URL: https://arxiv.org/abs/2010.15906

zbMATH Keywords

tableauxMacdonald polynomialsquasisymmetric functionsfundamental quasisymmetric functionsquasisymmetric Macdonald polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Enumerative combinatorics (05Axx) Basic hypergeometric functions (33Dxx)

Cites Work

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• Quasisymmetric Schur functions
• A recursion and a combinatorial formula for Jack polynomials
• Harmonic analysis for certain representations of graded Hecke algebras
• Properties of non-symmetric Macdonald polynomials at \(q=1\) and \(q=0\)
• A combinatorial formula for nonsymmetric Macdonald polynomials
• A combinatorial formula for Macdonald polynomials
• From multiline queues to Macdonald polynomials via the exclusion process
• Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials

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