论文标题
$ \ Mathfrak {sl} _3 $和$ \ Mathfrak {gl} _3 $的共同体,具有简单模块中的系数和正面特征的Weyl模块的系数
Cohomology of $\mathfrak{sl}_3$ and $\mathfrak{gl}_3$ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics
论文作者
论文摘要
我们计算了$ \ mathfrak {sl} _3(k)$的共同体,该代数封闭的特征性$ p> 3 $具有简单模块和Weyl模块的系数。我们还提供了$ \ mathfrak {gl} _3(k)$的相应共同体的描述。
We calculate the cohomology of $\mathfrak{sl}_3(k)$ over an algebraically closed field $k$ of characteristic $p>3$ with coefficients in simple modules and Weyl modules. We also give descriptions of the corresponding cohomology of $\mathfrak{gl}_3(k)$.