5 problems

Let $W_+$ be the positive Witt algebra over a field of characteristic zero, and let ${\rm U}(W_+)$ be its universal enveloping algebra. The two-sided ideals of ${\rm U}(W_+)$ satis…

Let ${\rm S}(W_+)$ be the symmetric algebra of the positive Witt algebra, equipped with its natural Poisson structure, and let $K$ be a Poisson ideal. The proposition cited in the…

Let $W_+$ be the positive Witt algebra and let $f$ be a nonzero element of ${\rm U}(W_+)$. Write $o(f)$ for the order used in the paper. The finite-GK-dimension conclusion of the q…

Let $W_+$ be the positive Witt algebra over a field of characteristic zero, and let ${\rm S}^m(W_+)$ denote its $m$th symmetric power, viewed as a $W_+$-module. For every nonnegati…

Let ${\rm U}(W_+)$ be the universal enveloping algebra of the positive Witt algebra $W_+$ over a field of characteristic zero. The algebra ${\rm U}(W_+)$ has just infinite Gelfand–…