
## 13. Steenrod Algebra

1. #### Problem 13.1.

[Williamson]
1. What is the representation-theoretic meaning of the Steenrod algebra action on mod-p cohomology? For example, on the cohomology of $Gr$?
2. Does the Steenrod algebra act on the cohomology of any parity sheaf? (Note: examples of Goresky show that this fails for mod-p IC sheaves.)

Cite this as: AimPL: Sheaves and modular representations of reductive groups, available at http://aimpl.org/sheavemodular.