Séminaire Lotharingien de Combinatoire, 89B.42 (2023), 12 pp.
Zajj Daugherty and Arun Ram
Set-Valued Tableaux for Macdonald Polynomials
Abstract.
Set-valued tableaux formulas play an important role in
Schubert calculus. Using the box greedy reduced word for the construction of the Macdonald polynomials,
we convert the alcove walk formula to a set-valued tableaux formula for Macdonald polynomials. Our hope is that providing such formulas will help
to strengthen the analogies and possible connections between the calculus
of Macdonald polynomials and Schubert calculus.
Received: November 15, 2022.
Accepted: February 20, 2023.
Final version: April 1, 2023.
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