2 problems

Nilpotent-generator conjecture. For any nonzero nilpotent element $X \in \mathfrak{g}$ there exists a nilpotent element $Y \in \mathfrak{g}$ such that $X$ and $Y$ generate…

For $i \in \{1,\ldots,n\}$, let $(\mathcal{L}_{i},\mathcal{D}(\mathcal{L}_i))$ be generators of ergodic Feller semigroups. Let $A_k^i$, $B^i$, and $\mathcal{J}$ arise from decompos…