论文标题
Lie Superalgebra $ \ tilde {p}（2）$的第一个共同体，带有KAC模块的系数
The First Cohomology of Lie Superalgebra $\tilde{P}(2)$ with Coefficients in Kac Modules
论文作者
论文摘要
在特征p> 2的字段上，首先，给出了lie superalgebra $ \ tilde {p}（2）$的kac模块的结构，并给出了重量空间分解。其次，计算了其KAC模块的$ \ tilde {p}（2）$的权重衍生物。最后，确定了$ \ tilde {p}（2）$的第一个共同体，并确定了KAC模块中系数。
Over a field of characteristic p>2, firstly, the structure of Kac modules of Lie superalgebra $\tilde{P}(2)$ and the weight space decompositions are given. Secondly, the weight-derivations of $\tilde{P}(2)$ to its Kac modules are computed. Finally, the first cohomology of $\tilde{P}(2)$ with coefficients in Kac modules is determined.
