| On Polynomial Representations of Lie Algebras |
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| 作者姓名： | 陈酌 贺龙光 钟德寿 |
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| 作者单位： | Department of Mathematics Capital Normal University，Department of Mathematics，Capital Normal University，China Youth University for Political Sciences，Beijing，100037，Beijing，100037，Beijing，100089 |
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| 摘 要： | We study polynomial representations of finite dimensional (R or C) Lie algebras. As a total classification, we show that there are altogether three types of such nontrivial representations and give their subtle structures.
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| 关 键 词： | 摹式 Levi分解 多项式表示 有限空间 |
On Polynomial Representations of Lie Algebras |
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| CHEN Zhuo and HE Long-guang.On Polynomial Representations of Lie Algebras[J].Northeastern Mathematical Journal,2006,22(3):335-348. |
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| Authors: | CHEN Zhuo and HE Long-guang |
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| Institution: | [1]Department of Mathematics, Capital Normal University, Beijing, 100037 [2]China Youth University for Political Sciences, Beijing, 100089 |
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| Abstract: | We study polynomial representations of finite dimensional (R or C) Lie algebras. As a total classification, we show that there are altogether three types of such nontrivial representations and give their subtle structures. |
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| Keywords: | Lie algebra polynomial morphism Levi decomposition |
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