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Comptes Rendus Mathématique
Volume 348, n° 9-10
pages 499-502 (mai 2010)
Doi : 10.1016/j.crma.2010.04.012
Received : 29 Mars 2010 ;  accepted : 6 April 2010
Formule des caractères des représentations simples de dimension finie de la super-algèbre de Lie  
Character formula for finite-dimensional simple representations of the Lie superalgebra  
 

François Drouot
Laboratoire de mathématiques de Versailles, bâtiment Fermat, 45, avenue des États-Unis, 78035 Versailles cedex, France 

Résumé

L’objectif de cette Note est de donner une décomposition des  -modules simples de dimension finie en  -modules simples. Cette décomposition permet d’avoir une formule des caractères combinatoire pour de tels modules.

The full text of this article is available in PDF format.
Abstract

The goal of this Note is to decompose simple  -modules of finite dimension as a direct sum of simple  -modules. This decomposition gives us a combinatoric character formula for simple modules.

The full text of this article is available in PDF format.


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