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Macdonald polynomials as characters of Cherednik algebra modules

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Abstract

We prove that Macdonald polynomials are characters of irreducible Cherednik algebra modules.

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Authors and Affiliations

  1. Instituto de Matemática y Física, Universidad de Talca, Talca, Chile

    Stephen Griffeth

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  1. Stephen Griffeth
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Correspondence to Stephen Griffeth.

Additional information

I am extremely grateful to Adriano Garsia and Luc Lapointe for very enlightening discussions, which were indispensable for the discovery of these results. I am also grateful to Iain Gordon and an anonymous referee for helpful comments on earlier versions of this paper, and to Luc Lapointe for empirical verification of the main result. During the time this research was carried out I have benefitted from the financial support of Fondecyt Proyecto Regular 1110072.

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Griffeth, S. Macdonald polynomials as characters of Cherednik algebra modules. Math. Z. 277, 317–323 (2014). https://doi.org/10.1007/s00209-013-1257-3

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  • DOI: https://doi.org/10.1007/s00209-013-1257-3

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