Zajj Daugherty, Arun Ram
Published 2022-12-08Version 1
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 for Macdonald polynomials to a set-valued tableaux formula for Macdonald polynomials. Our hope is that providing set-valued tableaux formulas for Macdonald polynomials will help to strengthen the analogies and possible connections between the calculus of Macdonald polynomials and Schubert calculus.
Comparing formulas for type $GL_n$ Macdonald polynomials: Supplement
From Macdonald Polynomials to a Charge Statistic beyond Type A
Monk rules for type $GL_n$ Macdonald polynomials
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