6 problems

Let $\W{-1}$ denote the negative Witt algebra, let $\Ua(\W{-1})$ be its enveloping algebra, and let $A_k$ denote the relevant $k$-th Weyl-algebra target. For each $n$, write…

Let $W_{\geq -1}$ be the Lie algebra of polynomial vector fields on the affine line with degrees at least $-1$, let $\Bbbk$ be the base field, and let $L(f)$ and $L(f,g)$ be the sub…

Let $W$ be the Witt algebra, let $\operatorname{U}(W)$ be its universal enveloping algebra, and let $\pi_\gamma$ be the family of representations defined in the paper, with kernels…

Let $W$ be the Witt algebra and let $\operatorname{U}(W)$ be its universal enveloping algebra. The Witt prime-to-primitive containment conjecture. Every proper prime ideal of…

Let $W$ be the Witt algebra and $W_{\geq -1}$ its subalgebra spanned by the basis elements of index at least $-1$. Let $\operatorname{U}(W)$ and $\operatorname{U}(W_{\geq -1})$ be…

Let $\mathbb K$ be a field of characteristic zero, and let $W_+$ be the positive Witt algebra with basis $\{e_n:n\geqslant 1\}$ and Lie bracket $[e_i,e_j]=(j-i)e_{i+j}$. Its univer…