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仿射李代数的水平零的Whittaker模

The Imaginary Whittaker Modules of Level Zero for Affine Lie Algebras
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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.
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)
出处 《数学年刊(A辑)》 CSCD 北大核心 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。
关键词 仿射李代数 Whittaker模 水平零 不可约 Affine Lie algebras Whittaker modules Level zero Irreducible
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