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Classification of irreducible Whittaker modules for a Lie algebra arising from the 2-Dimensional Torus
Tan Shaobin 1, Wang Qin 1, Xu Chengkang 2 *
1. School of Mathematical Sciences, Xiamen University, Xiamen 361005,
2. School of Mathematical Sciences, Xiamen University, Xiamen 361005
*Correspondence author
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Funding: NSF of China (No.10931006) and a grant from the PhD Programs Foundation ofMinistry of Education of China (No.20100121110014); （No.No.11371024）, Natural Science Foundation of Fujian Province (No.2013J01018) andFundamental Research Funds for the Central University （No.No.2013121001）
Opened online:27 December 2013
Accepted by: none
Citation: Tan Shaobin, Wang Qin, Xu Chengkang.Classification of irreducible Whittaker modules for a Lie algebra arising from the 2-Dimensional Torus[OL]. [27 December 2013] http://en.paper.edu.cn/en_releasepaper/content/4576938
 
 
Let $A$ be the ring of Laurent polynomials in two variables and $B$ be the set of skew derivatives of $A$.We denote by $ ilde{L}$ the semi-direct product of $A$ and $B$,let $L$ be the universal central extension of the derived Lie algebra of $ ilde{L}$.In this paper, we classify the irreducible Whittaker modules for the Lie algebra $L$.
Keywords:Infinite dimensional Lie algebras;Torus;Whittaker modules
 
 
 

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