Geodesic
Integrable Representations for Extended Affine Lie Algebras Coordinated by Quantum Tori
Journal of Lie theory, Tome 23 (2013) no. 2, pp. 383-405

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We realize all irreducible integrable modules for the core of extended affine Lie algebras of type A coordinated by quantum tori with center elements act non-trivially. We also study sufficient and necessary conditions for such modules to be unitary.
Classification : 17B10, 17B65, 17B67
Mots-clés : Extended affine Lie algebra, integrable representation, unitary module, quantum tori 
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     author = {F. Chen and S. Tan },
     title = {Integrable {Representations} for {Extended} {Affine} {Lie} {Algebras} {Coordinated} by {Quantum} {Tori}},
     journal = {Journal of Lie theory},
     pages = {383--405},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JLT_2013_23_2_JLT_2013_23_2_a2/}
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F. Chen; S. Tan . Integrable Representations for Extended Affine Lie Algebras Coordinated by Quantum Tori. Journal of Lie theory, Tome 23 (2013) no. 2, pp. 383-405. http://geodesic.mathdoc.fr/item/JLT_2013_23_2_JLT_2013_23_2_a2/