B_(2)型李代数上的Whittaker模  

Whittaker Modules over Lie Algebra of Type B_(2)

作　　者：夏利猛 朱婕 郭向前 Li Meng XIA;Jie ZHU;Xiang Qian GUO(Institute of Applied System Analysis,Zhenjiang 212013,P.R.China;School of Mathematics and Statistics,Zhengzhou University,Zhengzhou 450001,P.R.China)

机构地区：[1]江苏大学应用系统分析研究院,镇江212013 [2]江苏大学数学科学学院,镇江212013 [3]郑州大学数学与统计学院,郑州450001

出　　处：《数学学报（中文版）》2023年第3期509-518,共10页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11871249,12171555,11971440,11931009)。

摘　　要：Kostant在文[Invent.Math.,1978,48:101-184]中介绍了有限维单李代数上的Whittaker模的概念,他用非奇异的Whittaker函数详细地描述了这一类模的结构.本文研究了B_(2)型李代数上奇异型Whittaker函数定理的单的Whittaker模.The concept of Whittaker modules over finite dimensional simple Lie algebras was introduced by Kostant[Invent.Math.,1978,48:101-184],where he described the structure of such modules in full detail with respect to nonsingular Whittaker functions.In this paper,we study the simple Whittaker modules for the Lie algebra of type B_(2) with singular Whittaker functions.

关 键 词：Whittaker模 Whittaker函数 Whittaker向量 单模 

分 类 号：O152.5[理学—数学]