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Integrable representations for the extended affine Lie algebra coordinated by quantum tori in two variables
Fei Kong, Zhiqiang Li, Shaobin Tan *,Qing Wang
School of Mathematical Sciences, Xiamen University, Xiamen 361005
*Correspondence author
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Funding: PhD Programs Foundation of Ministry of Education of China （No.No.20100121110014）
Opened online:27 December 2013
Accepted by: none
Citation: Fei Kong, Zhiqiang Li, Shaobin Tan.Integrable representations for the extended affine Lie algebra coordinated by quantum tori in two variables[OL]. [27 December 2013] http://en.paper.edu.cn/en_releasepaper/content/4576424
 
 
In this paper one classify the irreducible integrable modules for thecore of the extended affine Lie algebra of type $A_{d-1}$coordinated by $C_q$ with finite dimensional weight spaces and thecenter acting trivially, where $C_q$ is the quantum torus in twovariables.
Keywords:Infinite dimensional Lie algebras, Integrable modules, Quantum torus, Extended affine Lie algebras.
 
 
 

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