Expanding the quasisymmetric Macdonald polynomials in the fundamental basis

2020/10/29 by Corteel, Sylvie, Mandelshtam, Olya, Roberts, Austin
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2010.15906

Abstract

The quasisymmetic Macdonald polynomials G_γ(X; q, t) were recently introduced by the first and second authors with Haglund, Mason, and Williams in [3] to refine the symmetric Macdonald polynomials P_λ(X; q, t) with the property that G_γ(X; 0, 0) equals QS_γ(X), the quasisymmetric Schur polynomial of [9]. We derive an expansion for G_γ(X; q, t) in the fundamental basis of quasisymmetric functions.

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