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.
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)
出处
《数学学报(中文版)》
CSCD
北大核心
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)。