| 摘要: |
| 本文研究了特征p＞3的域上外代数与有限维广义Witt李代数的张量积所构成的李超代数的结构.通过计算,确定了这类李超代数的乘法生成元,获得了它们的超导子代数,推广了李代数的相应结果. |
| 关键词: 除幂代数 广义Witt代数 超导子 |
| DOI： |
| 分类号:O152.5 |
| 基金项目:国家自然科学基金，黑龙江省自然科学基金，博士后研究人员落户黑龙江科研启动资助金，黑龙江省教育厅科学技术项目 |
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| SUPERDERIVATION ALGEBRAS FOR A FAMILY OF LIE SUPERALGEBRAS OF WITT TYPE |
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ZOU Xu-juan,LIU Wen-de
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ZOU Xu-juan1,2,LIU Wen-de1(1.School of Mathematical Sciences,Harbin Normal University,Harbin 150025,China)(2.Daqing Dongfeng Middle School,Daqing 163311,China)
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| Abstract: |
| This article studies the structure of the tensor product of the exterior algebra and the finite-dimensional generalized Witt algebra over a field of characteristic p>3,which is a Lie superalgebra.By means of computation,the generators are first given and then the superderivation algebra is determined.This generalizes the analogous results in Lie algebras. |
| Key words: divided power algebra generalized Witt algebra superderivation |
