Journal of the Institute of Mathematics of Jussieu ( IF 1.254 ) Pub Date : 2021-05-04 , DOI: 10.1017/s1474748021000177
Federico Scavia

Building upon 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 $p=2$.

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