Constructions for infinitesimal group schemes
Constructions for infinitesimal group schemes
Let $G$ be an infinitesimal group scheme over a field $k$ of characteristic $p >0$. We introduce the global $p$-nilpotent operator $\Theta _G: k[G] \to k[V(G)]$, where $V(G )$ is the scheme which represents 1-parameter subgroups of $G$. This operator $\Theta _G$ applied to $M$ encodes the local Jordan type …