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经典N=2李共形超代数的导子和第二上同调群
引用本文:戴先胜,范广哲.经典N=2李共形超代数的导子和第二上同调群[J].数学学报,2017,60(2):335-342.
作者姓名:戴先胜  范广哲
作者单位:1. 贵州师范大学数学科学学院 贵阳 550001; 2. 同济大学数学系 上海 200092
基金项目:国家自然科学基金资助项目(11371278,11431010,11101056,11501417,11161010)
摘    要:研究了经典N=2李共形超代数的导子和第二上同调群的结构,并应用第二上同调群的结果确定了该李共形超代数的泛中心扩张.

关 键 词:李共形超代数  共形导子  第二上同调群  泛中心扩张

Derivations and the Second Cohomology Group of the Classical N=2 Lie Conformal Superalgebra
Xian Sheng DAI,Guang Zhe FAN.Derivations and the Second Cohomology Group of the Classical N=2 Lie Conformal Superalgebra[J].Acta Mathematica Sinica,2017,60(2):335-342.
Authors:Xian Sheng DAI  Guang Zhe FAN
Institution:1. School of Mathematics Sciences, Guizhou Normal University, Guiyang 550001, P. R. China; 2. Department of Mathematics, Tongji University, Shanghai 200092, P. R. China
Abstract:We studied the derivations and the second cohomology group of the classical N=2 Lie conformal superalgebra. Furthermore, we investigated the universal central extension of this Lie conformal superalgebra by applying the result on the second cohomology group.
Keywords:Lie conformal superalgebra  conformal derivations  the second cohomology group  universal central extension  
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