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Hidden 467-1467-1467-1

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Letn be an integer. Denote byA n one of the following two graded vector spaces: (a) the space of all multilinear Poisson polynomials of degreen (with a grading described below), or (b) the cohomology of the space of alln-uples of complex numbersz 1,..., zn withz i≠zj fori≠j. We prove that the natural action of Σ n on each homogeneous component ofA n can be extented to an “hidden” Σ n+1 -action and we compute the corresponding character (the Σ n -character being already given by Klyaschko and Lehrer-Solomon formulas).

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Communicated by A. Connes

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Mathieu, O. Hidden 467-1467-1467-1. Commun.Math. Phys. 176, 467–474 (1996). https://doi.org/10.1007/BF02099558

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  • DOI: https://doi.org/10.1007/BF02099558

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