A raising operator formula for Macdonald polynomials

We give an explicit raising operator formula for the modified Macdonald polynomials \(\tilde{H}_{\mu }(X;q,t)\), which follows from our recent formula for \(\nabla\) on an LLT polynomial and the Haglund-Haiman-Loehr formula expressing modified Macdonald polynomials as sums of LLT polynomials. Our me...

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Veröffentlicht in:	arXiv.org 2023-07
Hauptverfasser:	Blasiak, Jonah, Haiman, Mark, Morse, Jennifer, Pun, Anna, Seelinger, George
Format:	Artikel
Sprache:	eng
Schlagworte:	Functions (mathematics) Mathematical analysis Operators (mathematics) Polynomials
Online-Zugang:	Volltext
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