论文标题
关于代数堆栈的DE RHAM共同学的Steenrod操作
Steenrod operations on the de Rham cohomology of algebraic stacks
论文作者
论文摘要
在爱泼斯坦，梅和德鲁里的工作中，我们定义并调查了Mod $ p $ steenrod的操作，该操作是在特征性的$ p> 0 $的领域上平滑代数堆栈的De Rham共同体。然后，我们计算了对有限组的堆栈分类的DE RHAM共同体的行动，当$ p $ $ p $的连接还原组和（特殊）正交组时，$ p = 2 $。
Building up on work of Epstein, May and Drury, we define and investigate the mod $p$ Steenrod operations on the de Rham cohomology of smooth algebraic stacks over a field of characteristic $p>0$. We then compute the action of the operations on the de Rham cohomology of classifying stacks for finite groups, connected reductive groups for which $p$ is not a torsion prime, and (special) orthogonal groups when $p=2$.
