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.
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Dept. of Mathematics, Harish-Chandra Research Institute, Jhunsi, Prayagraj, India
Santanu Tantubay; Punita 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/JOLT_2023_33_3_a3/
@article{JOLT_2023_33_3_a3,
author = {Santanu Tantubay and Punita 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/JOLT_2023_33_3_a3/}
}
TY - JOUR
AU - Santanu Tantubay
AU - Punita Batra
TI - Classification of Irreducible Integrable Modules for Extended Affine Lie Algebras with Center Acting Trivially
JO - Journal of Lie Theory
PY - 2023
SP - 747
EP - 762
VL - 33
IS - 3
UR - http://geodesic.mathdoc.fr/item/JOLT_2023_33_3_a3/
ID - JOLT_2023_33_3_a3
ER -
%0 Journal Article
%A Santanu Tantubay
%A Punita Batra
%T Classification of Irreducible Integrable Modules for Extended Affine Lie Algebras with Center Acting Trivially
%J Journal of Lie Theory
%D 2023
%P 747-762
%V 33
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2023_33_3_a3/
%F JOLT_2023_33_3_a3
