Geodesic
Annihilators of Simple Integrable Weight sl(∞)-Modules
Lucas Calixto1
1Department of Mathematics, Federal University of Minas Gerais, Pampulha, Belo Horizonte, Brazil
Journal of Lie Theory, Tome 29 (2019) no. 2, pp. 303-310

Voir la notice de l'article provenant de la source Heldermann Verlag

Let g = sl(∞). We compute the annihilators of a class of simple integrable weight g-modules with finite-dimensional weight spaces. It is a claim of I. Dimitrov, that this class exhausts all simple integrable weight g-modules with finite-dimensional weight spaces. The main feature of interest is that Dimitrov's modules contains non highest weight modules. Here we provide another construction for these modules, which allows to apply recent results of A. Petukhov and I. Penkov to compute such annihilators.
Classification : 17B65, 17B10
Mots-clés : Annihilator of modules, weight modules, direct limit Lie algebras

Lucas Calixto  1

1 Department of Mathematics, Federal University of Minas Gerais, Pampulha, Belo Horizonte, Brazil 
Lucas Calixto. Annihilators of Simple Integrable Weight sl(∞)-Modules. Journal of Lie Theory, Tome 29 (2019) no. 2, pp. 303-310. http://geodesic.mathdoc.fr/item/JOLT_2019_29_2_a0/
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     author = {Lucas Calixto},
     title = {Annihilators of {Simple} {Integrable} {Weight} {sl(\ensuremath{\infty})-Modules}},
     journal = {Journal of Lie Theory},
     pages = {303--310},
     year = {2019},
     volume = {29},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2019_29_2_a0/}
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