（1＋1）维中心扩张的Schrō6dinger代数的Whittaker模

摘要

In this paper, Whittaker modules for （1 ＋ 1）-dimensional centrally extended Schrōdinger algebra are de-fined. The special Whittaker modules Mψ and Lψξ are constructed and the properties of the Whittaker vectors in them are investigated. Besides, the irreducibility and the classification of Whittaker modules are studied.%给出了（1＋1）维中心扩张的Schrōdinger代数的Whittaker模的定义，构造出了特殊的Whittaker模Mψ和Lψξ，并研究了Mψ和Lψξ中的Whittaker向量的基本性质，最后研究了单的Whittaker模及其分类准则。