摘要
主要研究了Schrdinger代数S(2)的Whittaker模.首先给出S(2)上Whittaker模的定义,构造了Whittaker模Mψ和Lψ,ξ.确定了Mψ和Lψξ中的Whittaker向量.最后证明了当ψ是非奇异时,Lψξ是单的.
In this paper, the Whittaker modules for the Schr Odinger algebra S（2） are aimed to study. First, the authors of the paper give the definition of the Whittaker modules for S（2） , and construct the Whittaker modules Mψ and Lψ,ξ. Then the authors determine the Whittaker vectors of Mψ and Lψ,ξ respectively. Finally, the paper shows that Lψ,ξis irreducible ifψis non-singular.
出处
《常熟理工学院学报》
2014年第4期38-43,103,共7页
Journal of Changshu Institute of Technology
