Polynomials Defined by Tableaux and Linear Recurrences

Abstract

We show that several families of polynomials defined via fillings of diagrams satisfy linear recurrences under a natural operation on the shape of the diagram. We focus on key polynomials, (also known as Demazure characters), and Demazure atoms. The same technique can be applied to Hall–Littlewood polynomials and dual Grothendieck polynomials. The… (More)

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