Integrable Generators of Polynomial Vector Fields for Complex Classical Lie Groups

Yiyang Jiang, Xudong Chen

We consider in this paper complex Lie groups ${\mathrm{SL}}_n(\mathbb{C})$ for $n\ge 2$, ${\mathrm{SO}}_n(\mathbb{C})$ for $n\ge 5$, and ${\mathrm{Sp}}_{2n}(\mathbb{C})$ for $n\ge 1$.…