| 扭的Multi-loop代数的triple导子 |
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| 引用本文： | 陈翠,连海峰. 扭的Multi-loop代数的triple导子[J]. 数学的实践与认识, 2012, 42(18): 229-234 |
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| 作者姓名： | 陈翠 连海峰 |
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| 作者单位： | 1. 福建工程学院数理系,福建福州,350108
2. 福建农林大学计算机与信息学院,福建福州,350002 |
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| 基金项目： | 福建省自然科学基金，福建省自然科学基金，福建工程学院科研发展预研基金 |
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| 摘 要： | 设G是三维实李代数so(3)的复化李代数,A=C[T_1~(±1),t_2~(±2)]为复数域上的多项式环.设L(t_1,t_2,1)=G(?)_cA,d_1,d_2为L(t_1,t_2,1)的度导子.最近我们研究了李代数L(t_1,t_2,1)的自同构群结构.研究扭的Multi-loop代数L(t_1,t_2,1)(?)(Cd_1(?)Cd_2)的导子以及triple导子结构.
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| 关 键 词： | 李代数 导子 triple导子 |
Triple Derivations of a Twisted Multi-loop Algebra |
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| CHEN Cui , LIAN Hai-feng. Triple Derivations of a Twisted Multi-loop Algebra[J]. Mathematics in Practice and Theory, 2012, 42(18): 229-234 |
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| Authors: | CHEN Cui LIAN Hai-feng |
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| Affiliation: | 1.Department of Mathematics & Physics,Fujian University of Technology,Fuzhou,350108,China) (2.Computer & Information College,Fujian Agriculture and Forestry University,Fuzhou 350002,China) |
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| Abstract: | Let G be the complexification of the real Lie algebra so(3)and A=C[t_1~(±1),t_2~(±1)]be the Laurent polynomial algebra with commuting variables.Let L(t_1,t_2,1)=G(?)c A,d_1,d_2 be degree derivations of its.Recently we have studied the automorphism group of the Lie algebra L(t_1,t_2,1).In the present paper we study derivation and triple derivation of the twisted multi-loop Lie algebra L(t_1,t_2,1)(?)(Cd_1(?)Cd_2). |
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| Keywords: | Lie algebra derivation triple derivation |
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