On enhanced reductive groups (II): Finiteness of nilpotent orbits under enhanced group action and their closures

Bin Shu, Yunpeng Xue, Yufeng Yao

This is a sequel to \cite{osy} and \cite{sxy}. Associated with $G:=\GL_n$ and its rational representation $(\ddot{I},M)$ over an algebraically closed filed $\bk$, we define an enhanced…