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no. 4
Expanding the quasisymmetric Macdonald polynomials in the fundamental basis
Corteel, Sylvie1; Mandelshtam, Olya2; Roberts, Austin3
1 Department of Mathematics UC Berkeley USA
2 Department of Mathematics Brown University USA
3 Department of Mathematics Highline College USA
Algebraic Combinatorics, Volume 6 (2023) no. 4, pp. 941-954.

The quasisymmetric 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.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/alco.289
Keywords: quasisymmetric Macdonald polynomials, fundamental quasisymmetric functions, tableaux, Macdonald polynomials, quasisymmetric functions

Corteel, Sylvie 1; Mandelshtam, Olya 2; Roberts, Austin 3

1 Department of Mathematics UC Berkeley USA
2 Department of Mathematics Brown University USA
3 Department of Mathematics Highline College USA
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Corteel, Sylvie; Mandelshtam, Olya; Roberts, Austin. Expanding the quasisymmetric Macdonald polynomials in the fundamental basis. Algebraic Combinatorics, Volume 6 (2023) no. 4, pp. 941-954. doi : 10.5802/alco.289. https://alco.centre-mersenne.org/articles/10.5802/alco.289/

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