| 量子环面导子代数上的导子 |
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| 引用本文： | 朱林生.量子环面导子代数上的导子[J].常熟理工学院学报,2009,23(4):7-11. |
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| 作者姓名： | 朱林生 |
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| 作者单位： | 常熟理工学院数学系,江苏,常熟,215500 |
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| 摘 要： | 设Fq是F上关于量子矩阵q=（qij）的量子环面，本文确定了Fq，Fq]的导子DerFq，Fq],当M是Z^n的一个非退化子集时，证明了DerFq，Fq]是完备李代数．
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| 关 键 词： | 量子环面 导子 完备李代数 |
Derivations of the Lie Algebra of Derivations for Quantum Torus |
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| ZHU Lin-sheng.Derivations of the Lie Algebra of Derivations for Quantum Torus[J].Journal of Changshu Institute of Technology,2009,23(4):7-11. |
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| Authors: | ZHU Lin-sheng |
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| Institution: | Department of Mathematics;Changshu Institute of Technology;Changshu 215500;China |
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| Abstract: | Let Fq be the quantum torus related to the quantum torus matrix q=（qij） over a field F of character zero.We determine the derivation algebra DerFq, Fq]. In particular, we prove DerFq, Fq] is a complete Lie algebra if it is a non-degenerate subset of Z^n. |
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| Keywords: | quantum torus derivations complete Lie algebras |
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