Actions of the derived group of a maximal unipotent subgroup on $G$-varieties

Dmitri I. Panyushev

Let $U$ be a maximal unipotent subgroup of a connected semisimple group $G$ and $U^{\prime }$ the derived group of $U$. We study actions of $U^{\prime }$ on affine $G$-varieties. First, we consider…