2 problems

Let $\mathfrak g$ be a finite-dimensional reductive Lie algebra of rank $l$ over an algebraically closed field of characteristic zero. For $x\in\mathfrak g$, let $\mathfrak g_x$ be…

Let $K$ be a field of characteristic zero, let $\mathcal{G}$ be the group of formal maps under composition, and let $g\in\mathcal{G}$ be tangent to but not equal to the identity. F…