4 problems

Let $\mathcal{L}$ be a finite dimensional simple Lie algebra over an algebraically closed field of characteristic $p>3$. An element $c\in\mathcal{L}$ is a sandwich element if…

Let ${\mathfrak g}$ be a simple Lie algebra. Let $\mathfrak{Ab}({\mathfrak g})$ be the finite set of abelian ideals and $\mathfrak{Par}({\mathfrak g})$ the finite set of standard p…

Let ${\mathfrak g}$ be a simple Lie algebra, let $\mathfrak{Ab}({\mathfrak g})$ be the set of its abelian ideals, and let $\mathfrak{Par}({\mathfrak g})$ be the set of its standard…

Let $\mathfrak{g}$ be the simple Lie algebra considered in the topological ODE construction, with Coxeter number $h$, rank $n$, and dual fundamental series $\phi_{a;a}$ for…