Geodesic
Tensor Product Realizations of Simple Torsion Free Modules
Canadian journal of mathematics, Tome 53 (2001) no. 2, pp. 225-243

Voir la notice de l'article provenant de la source Cambridge University Press

Let $\mathcal{G}$ be a finite dimensional simple Lie algebra over the complex numbers $C$ . Fernando reduced the classification of infinite dimensional simple $\mathcal{G}$ -modules with a finite dimensional weight space to determining the simple torsion free $\mathcal{G}$ -modules for $\mathcal{G}$ of type $A$ or $C$ . These modules were determined by Mathieu and using his work we provide a more elementary construction realizing each one as a submodule of an easily constructed tensor product module.
DOI : 10.4153/CJM-2001-010-x
Mots-clés : 17B10 
Britten, D. J.; Lemire, F. W. Tensor Product Realizations of Simple Torsion Free Modules. Canadian journal of mathematics, Tome 53 (2001) no. 2, pp. 225-243. doi: 10.4153/CJM-2001-010-x
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