Hidden 467-1467-1467-1 |
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Authors: | Olivier Mathieu |
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Institution: | (1) Institut de Recherches Mathèmatiques Avancées, Université Louis Pasteur et C.N.R.S., 7, rue René Descartes, F-67084 Strasbourg Cedex, France |
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Abstract: | 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
izj forij. We prove that the natural action of
n
on each homogeneous component ofA
n can be extented to an hidden
n+1
-action and we compute the corresponding character (the
n
-character being already given by Klyaschko and Lehrer-Solomon formulas). |
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Keywords: | |
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