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Une identité remarquable en théorie des partitions

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Abstract.

We prove an identity about partitions, previously conjectured in the study of shifted Jack polynomials. The proof given is using \(\lambda\)-ring techniques. It would be interesting to obtain a bijective proof.

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Authors and Affiliations

  1. Centre National de la Recherche Scientifique, Institut Gaspard Monge, Université de Marne-la-Vallée, 77454 Marne-la-Vallée Cedex, France (e-mail: Alain.Lascoux @ univ-mlv.fr), , , , , , FR

    Alain Lascoux

  2. Centre National de la Recherche Scientifique, Ecole Polytechnique, 91128 Palaiseau, France (e-mail: lassalle @ chercheur.com), , , , , , FR

    Michel Lassalle

Authors
  1. Alain Lascoux
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  2. Michel Lassalle
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Received January 18, 2000 / Revised January 23, 2000 / Published online July 20, 2000

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Lascoux, A., Lassalle, M. Une identité remarquable en théorie des partitions. Math Ann 318, 299–313 (2000). https://doi.org/10.1007/s002080000121

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  • DOI: https://doi.org/10.1007/s002080000121

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