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Séminaire Lotharingien de Combinatoire, 85B.9 (2021), 12 pp.

# Sylvie Corteel, Olya Mandelshtam and Austin Roberts

# Fundamental Expansion of Quasisymmetric Macdonald Polynomials

**Abstract.**
The quasisymmetic Macdonald polynomials *G*_{&gamma&}(*X*;*q*,*t*) were recently introduced by the first and second authors with Haglund, Mason, and Williams to refine the symmetric Macdonald polynomials
*P*_{λ}(*X*;*q*,*t*).
We derive an expansion for *G*_{γ}(*X*;*q*,*t*) in the fundamental basis of quasisymmetric functions.

Received: December 1, 2020.
Accepted: March 1, 2021.
Final version: April 29, 2021.

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