Geodesic
Classification of Irreducible Integrable Modules for Extended Affine Lie Algebras with Center Acting Trivially
Journal of Lie theory, Tome 33 (2023) no. 3, pp. 747-762
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We classify the irreducible integrable modules for the twisted toroidal extended affine Lie algebras with finite dimensional weight spaces where the finite dimensional center acts trivially. S. E. Rao, S. S. Sharma and P. Batra [Integrable modules for twisted toroidal extended affine Lie algebras, J. Algebra 556 (2020) 1057--1072] have classified such modules for twisted toroidal extended affine Lie algebras (with n ≥ 3), where the finite dimensional center acts nontrivially. C. Fulin, L. Zhiqiang and S. Tan [Classification of integrable representations for toroidal extended affine Lie algebras, J. Algebra 514 (2021) 1--37], classified such modules for non twisted toroidal extended affine algebras only for two variables. Our results are valid for any n in case of twisted toroidal extended affine Lie algebras with the finite dimensional center acting trivially. We prove that the universal central extension part acts trivially on the modules and our modules turn out to be the highest weight modules.
Classification : 17B67, 17B66
Mots-clés : Twisted toroidal extended affine Lie algebras, integrable modules 
@article{JLT_2023_33_3_JLT_2023_33_3_a3,
     author = {S. Tantubay and P. Batra},
     title = {Classification of {Irreducible} {Integrable} {Modules} for {Extended} {Affine} {Lie} {Algebras} with {Center} {Acting} {Trivially}},
     journal = {Journal of Lie theory},
     pages = {747--762},
     year = {2023},
     volume = {33},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2023_33_3_JLT_2023_33_3_a3/}
}
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S. Tantubay; P. Batra. Classification of Irreducible Integrable Modules for Extended Affine Lie Algebras with Center Acting Trivially. Journal of Lie theory, Tome 33 (2023) no. 3, pp. 747-762. http://geodesic.mathdoc.fr/item/JLT_2023_33_3_JLT_2023_33_3_a3/