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Staircase Macdonald polynomials and the $q$-Discriminant

We prove that a $q$-deformation $\mathfrak{D}_k(\mathbb{X};q)$ of the powers of the discriminant is equal, up to a normalization, to a specialization of a Macdonald polynomial indexed by a staircase partition. We investigate the expansion of $\mathfrak{D}_k(\mathbb{X};q)$ on different bases of symme...

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Principais autores: Adrien Boussicault, Jean-Gabriel Luque
Format: Artigo
Jezik:Inglês
Izdano: Discrete Mathematics & Theoretical Computer Science 2008-01-01
Serija:Discrete Mathematics & Theoretical Computer Science
Teme:
Online dostop:https://dmtcs.episciences.org/3601/pdf
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