2 problems

Let $\ngo$ be a nilpotent Lie algebra, and let $\Cone$ be a cone in the maximal torus of derivations of $\ngo$. Let $\sg$ be a solvable Lie algebra with nilradical $\ngo$. The nota…

Let $\ngo$ be a nilpotent Lie algebra. Consider the space of diagonalizable derivations of $\ngo$ for which the corresponding one-dimensional solvable extension admits a left-invar…