| 广义Jacobson-Witt代数W(m;n)的I(x)约化表示(英) |
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| 引用本文： | 李莎莎,舒斌.广义Jacobson-Witt代数W(m;n)的I(x)约化表示(英)[J].华东师范大学学报(自然科学版),2008,2008(3):51-58. |
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| 作者姓名： | 李莎莎 舒斌 |
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| 作者单位： | 1. 山东理工大学 数学与信息科学学院, 山东淄博 255049; 2. 华东师范大学 数学系, 上海 200062 |
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| 摘 要： | 推广了对限制李代数 W(m;1)的研究方法,研究了当特征p>2时的阶化Cartan型李代数W(m; n)的表示.特别地, 把对限制型李代数所用的降秩的方法推广到了非限制的情形. 描述了当x正则半单时W(m;n)的不可约广义x约化表示.
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| 关 键 词： | 阶化李代数 Cartan型 正则半单 loop代数 阶化李代数 Cartan型 正则半单 loop代数 |
| 收稿时间： | 2007-05-23 |
I(x)-Reduced representations of generalized Jacobson-Witt algebras W(m;n)(English) |
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| LI Sha-sha,SHU Bin.I(x)-Reduced representations of generalized Jacobson-Witt algebras W(m;n)(English)[J].Journal of East China Normal University(Natural Science),2008,2008(3):51-58. |
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| Authors: | LI Sha-sha SHU Bin |
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| Institution: | 1. School of Mathematics and Information Science, Shandong University of Technology, Zibo Shandong 255049, China
2. Department of Mathematics, East China Normal University, Shanghai 200062, China |
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| Abstract: | This paper studied the representations of graded Cartan type Lie algebra W(m;n) in characteristic p>2, by generalizing the arguments of Shu's for restricted Lie algebras W(m;1). Especially, the rank-reducing method exploited in the restricted case was extended to non-restricted case. The simplemodules for W(m;n) with generalized p-character x were described by reduction when x was regular semisimple. |
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