Good index behaviour of $\theta$-representations, I

Willem A. de Graaf, Oksana S. Yakimova

Let $Q$ be an algebraic group with $q=\Lie Q$ and $V$ a $Q$-module. The index of $V$ is the minimal codimension of the $Q$-orbits in the dual space $V^{\ast }$. There is a general inequa…