4 problems

Cancellation conjecture.

Let $Z$ be a Poisson algebra, and let $A$ be a quantization of $Z$. Quantization cancellation conjecture. $Z$ is Poisson cancellative if and only if $A$ is cancellative. This propo…

Let $\mathfrak g$ be a finite-dimensional Lie algebra. Its symmetric Poisson algebra is denoted by $PS(\mathfrak g)$, and its universal enveloping algebra by $U(\mathfrak g)$. Canc…

Let $k$ be an uncountable algebraically closed field of characteristic zero, and let $A$ be an affine noetherian domain over $k$. Write $Z(A)$ for the centre of $A$. An algebra is…