仿射李代数的水平零的Whittaker模  

The Imaginary Whittaker Modules of Level Zero for Affine Lie Algebras

作　　者：沈彩霞 夏利猛 SHEN Caixia;XIA Limeng(Faculty of Science,Jiangsu University,Zhenjiang 212013,Jiangsu,China;Institute of Applied System Analysis,Jiangsu University,Zhenjiang 212013,Jiangsu,China)

机构地区：[1]江苏大学数学科学学院,江苏镇江212013 [2]江苏大学应用系统分析研究院,江苏镇江212013

出　　处：《数学年刊（A辑）》2020年第4期465-472,共8页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.11871249,No.11771142);江苏省自然科学基金(No.BK20171294)的资助。

摘　　要：对任意的仿射李代数g^(~),作者构造了一类水平为零的imaginary Whittakerg^(~)模.同时证明了这类模在某些给定条件下是单的.In this paper,for an arbitrary affine Lie algebrag^(~),the authors construct a class of imaginary Whittaker modules of zero-level forg^(~).It is also proved that such modules are irreducible under some given condition.

关 键 词：仿射李代数 Whittaker模 水平零 不可约 

分 类 号：O152.1[理学—数学]