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An (inverse) Pieri formula for Macdonald polynomials of type C

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Abstract

We give an explicit Pieri formula for Macdonald polynomials attached to the root system C n (with equal multiplicities). By inversion we obtain an explicit expansion for two-row Macdonald polynomials of type C.

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Authors and Affiliations

  1. Institut Gaspard-Monge, Université de Marne-la-Vallée, 77454, Marne-la-Vallée Cedex, France

    Michel Lassalle

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  1. Michel Lassalle
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Correspondence to Michel Lassalle.

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Centre National de la Recherche Scientifique.

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Lassalle, M. An (inverse) Pieri formula for Macdonald polynomials of type C . Transformation Groups 15, 154–183 (2010). https://doi.org/10.1007/s00031-010-9080-y

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  • DOI: https://doi.org/10.1007/s00031-010-9080-y

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