Infinite dimensional modules for linear algebraic groups
Infinite dimensional modules for linear algebraic groups
We investigate infinite dimensional modules for a linear algebraic group $\mathbb G$ over a field of positive characteristic $p$. For any subcoalgebra $C \subset \mathcal O(\mathbb G)$ of the coordinate algebra of $\mathbb G$, we consider the abelian subcategory $CoMod(C) \subset Mod(\mathbb G)$ and the left exact functor $(-)_C: Mod(\mathbb …