Abstract
The material in this appendix is a supplement to the paper [31], and we follow the notation of that paper. However, we shall restrict attention to connected semisimple Lie groups $G$ having a faithful matrix representation.
The Lie algebra of $G$ is denoted $\frak{g}_0$, and the complexification is $\frak{g}$. The group $G^{\mathbf{C}}$ is the analytic group with Lie algebra $\frak{g}$.
