Geodesic
Annihilators of Simple Integrable Weight sl(∞)-Modules
Journal of Lie theory, Tome 29 (2019) no. 2, pp. 303-31
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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 
@article{JLT_2019_29_2_JLT_2019_29_2_a0,
     author = {L. Calixto},
     title = {Annihilators of {Simple} {Integrable} {Weight} {sl(\ensuremath{\infty})-Modules}},
     journal = {Journal of Lie theory},
     pages = {303--31},
     year = {2019},
     volume = {29},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2019_29_2_JLT_2019_29_2_a0/}
}
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L. Calixto. Annihilators of Simple Integrable Weight sl(∞)-Modules. Journal of Lie theory, Tome 29 (2019) no. 2, pp. 303-31. http://geodesic.mathdoc.fr/item/JLT_2019_29_2_JLT_2019_29_2_a0/