沈彩霞,夏利猛.仿射李代数的水平零的Whittaker模[J].数学年刊A辑,2020,(4):465~472
仿射李代数的水平零的Whittaker模
The Imaginary Whittaker Modules of Level Zero for Affine Lie Algebras
Received:November 02, 2015  Revised:June 09, 2020
DOI:10.16205/j.cnki.cama.2020.0031
中文关键词:  仿射李代数, Whittaker 模, 水平零, 不可约
英文关键词:Affine Lie algebras, Whittaker modules, Level zero, Irreducible
基金项目:国家自然科学基金(No.11871249, No.11771142)和江苏省自然科学基金(No.BK20171294)
Author NameAffiliation
SHEN Caixia Faculty of Science, Jiangsu University, Zhenjiang 212013, Jiangsu, China. 
XIA Limeng Institute of Applied System Analysis, Jiangsu University, Zhenjiang 212013,Jiangsu, China. 
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中文摘要:
      对任意的仿射李代数 \tsg, 作者构造了一类水平为零的 imaginary Whittaker \tsg{-}模.同时证明了这类模在某些给定条件下是单的.
英文摘要:
      In this paper, for an arbitrary affine Lie algebra eg, the authors construct a class of imaginary Whittaker modules of zero-level for eg. It is also proved that such modules are irreducible under some given condition.
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