| 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,2020,41(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) |
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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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