| Cartan型模李超代数W的二阶上同调群H2(W,F) |
| |
| 引用本文： | 谢文娟.Cartan型模李超代数W的二阶上同调群H2(W,F)[J].数学杂志,2010,30(4). |
| |
| 作者姓名： | 谢文娟 |
| |
| 作者单位： | 哈尔滨师范大学数学科学学院,黑龙江,哈尔滨,150080 |
| |
| 摘 要： | 本文研究了有限维广义Witt李超代数W的二阶上同调群H2(W,F),其中F是一个特征P＞2的代数封闭域.通过计算W到W*的导子,得到H2(W,F)是平凡的.应用此结果,我们可得W的中心扩张是平凡的.
|
| 关 键 词： | Cartan型模李超代数 导子 斜导子 上同调群 |
SECOND COHOMOLOGY H2(W,F) OF THE MODULAR LIE SUPERALGEBRA OF CARTAN TYPE W |
| |
| XIE Wen-juan.SECOND COHOMOLOGY H2(W,F) OF THE MODULAR LIE SUPERALGEBRA OF CARTAN TYPE W[J].Journal of Mathematics,2010,30(4). |
| |
| Authors: | XIE Wen-juan |
| |
| Abstract: | In this article,we study the second cohomology group H2(W,F) of the finite dimensional generalized Witt Lie superalgebra W,where F is an algebracially closed field of characteristic p > 2.By computing the derivations of W to W*,we obtain H2(W,F) is trivial.As applications,we determine the central extension of W is trivial. |
| |
| Keywords: | modular Lie superalgebra of Cartan type derivation skew derivation cohomology group |
| 本文献已被 万方数据 等数据库收录！ |
|
