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(1+1)维中心扩张的Schrō6dinger代数的Whittaker模

唐明慧 朱林生

Journal of Changshu Institute of Technology2012,Vol.26Issue(2):5-11,7.
Journal of Changshu Institute of Technology2012,Vol.26Issue(2):5-11,7.

(1+1)维中心扩张的Schrō6dinger代数的Whittaker模

Whittaker Modules for the (1+1)-Dimensional Centrally Extended Schrōdinger Algebra

唐明慧 1朱林生2

作者信息

  • 1. 苏州科技学院数理学院,江苏苏州215009
  • 2. 常熟理工学院数学与统计学院,江苏常熟215500
  • 折叠

摘要

Abstract

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.

关键词

Schrōdinger代数/Whittaker模/Whittaker向量

Key words

Schrōidinger algebra/Whittaker module/Whittaker vector

分类

数理科学

引用本文复制引用

唐明慧,朱林生..(1+1)维中心扩张的Schrō6dinger代数的Whittaker模[J].Journal of Changshu Institute of Technology,2012,26(2):5-11,7.

基金项目

国家自然科学基金项目“Virasor0代数及相关代数的结构与表示” ()

Journal of Changshu Institute of Technology

1008-2794

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