| 李Color代数的扭上圈 |
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| 引用本文： | 孙冰,曹燕,陈良云.李Color代数的扭上圈[J].琼州学院学报,2014,21(5):1-5. |
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| 作者姓名： | 孙冰 曹燕 陈良云 |
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| 作者单位： | 1. 东北师范大学数学与统计学院,吉林长春,130024
2. 东北师范大学数学与统计学院,吉林长春130024;哈尔滨理工大学荣成学院,山东荣成264300 |
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| 基金项目： | 国家自然科学基金项目，黑龙江省教育厅科学技术研究项目 |
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| 摘 要： | 本文主要研究复数域上有限维李color代数的(α,β,γ)-导子,得到李color代数的(α,β,γ)-导子的一些重要性质.应用给定的复参数,推广李color代数上圈,并且得出了一类李color代数的1-上圈等价于其(α,β,γ)-导子.另外,对伴随表示的二维扭上圈也进行了详细的研究.
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| 关 键 词： | 李color代数 (α β γ)-导子 二维扭上圈 |
Twisted Cocycles of Lie Color Algebras |
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| SUN Bing,CAO Yan,CHEN Liang-yun.Twisted Cocycles of Lie Color Algebras[J].Journal of Qiongzhou University,2014,21(5):1-5. |
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| Authors: | SUN Bing CAO Yan CHEN Liang-yun |
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| Institution: | SUN Bing, CAO Yan , CHEN Liang- yun ( 1. School of Mathematics and Statistics , Northeast Normal University, Changchun Ji Lin 130024, China. 2. College of Rongcheng, Harbin University of Science and Technology, Rongcheng Shan dong 264300, China. ) |
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| Abstract: | The paper is primarily concerned with（ α,β,γ）-derivations of finite dimensional Lie color algebras over the field of complex numbers. Some properties of（ α,β,γ）-derivations of Lie color algebras are obtained. Using certain complex parameters we generalize the concept of cohomology cocycles of Lie color algebras. A special case for the generalization of 1-cocycles with respect to the adjoint representation is exactly（ α,β,γ）-derivations.Furthermore,two-dimensional twisted cocycles of the adjoint representation are investigated in detail. |
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| Keywords: | Lie color algebras （α β γ）-derivations two-dimensional twisted cocycles |
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