Communications in Mathematical Physics

, Volume 176, Issue 2, pp 467–474 | Cite as

Hidden 467-1467-1467-1

  • Olivier Mathieu
Article
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Revised:

Abstract

Letn be an integer. Denote byAn 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 numbersz1,..., zn withzi≠zj fori≠j. We prove that the natural action of Σ n on each homogeneous component ofAn 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).

Keywords

Neural Network Statistical Physic Vector Space Complex System Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Olivier Mathieu
    • 1
  1. 1.Institut de Recherches Mathèmatiques AvancéesUniversité Louis Pasteur et C.N.R.S.Strasbourg CedexFrance

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