Integrable Representations for Extended Affine Lie Algebras Coordinated by Quantum Tori

F. Chen; S. Tan

doi:10.5802/jolt.730

F. Chen; S. Tan

Journal of Lie Theory, Volume 23 (2013) no. 2, pp. 383-405

Abstract

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.

Zbl

DOI: 10.5802/jolt.730

Classification: 17B10, 17B65, 17B67
Keywords: Extended affine Lie algebra, integrable representation, unitary module, quantum tori

@article{JOLT_2013_23_2_a2,
     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},
     year = {2013},
     volume = {23},
     number = {2},
     doi = {10.5802/jolt.730},
     zbl = {1302.17009},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.730/}
}

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F. Chen; S. Tan. Integrable Representations for Extended Affine Lie Algebras Coordinated by Quantum Tori. Journal of Lie Theory, Volume 23 (2013) no. 2, pp. 383-405. doi: 10.5802/jolt.730

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