Geodesic
Integrable Representations for Extended Affine Lie Algebras Coordinated by Quantum Tori
Fulin Chen1 ; Shaobin Tan2
1Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China
2School of Mathematical Sciences, Xiamen University, Xiamen 361005, P. R. China
Journal of Lie Theory, Tome 23 (2013) no. 2, pp. 383-405

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

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

Fulin Chen  1   ; Shaobin Tan  2

1 Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China
2 School of Mathematical Sciences, Xiamen University, Xiamen 361005, P. R. China 
Fulin Chen; Shaobin 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/JOLT_2013_23_2_a2/
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     title = {Integrable {Representations} for {Extended} {Affine} {Lie} {Algebras} {Coordinated} by {Quantum} {Tori}},
     journal = {Journal of Lie Theory},
     pages = {383--405},
     year = {2013},
     volume = {23},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2013_23_2_a2/}
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