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 Pλ(X;q,t). We derive an expansion for Gγ(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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