4 problems

Wheeling conjecture. Wheeling intertwines the two products on Chinese characters; more precisely,

Let $\mathfrak g$ be an infinite-dimensional Lie algebra, let $*$ denote the regularized deformation-quantization product on $S^{\cdot}(\mathfrak g)$, and write…

Let $\mathfrak g$ be a possibly infinite-dimensional Lie algebra. Let $S^{\cdot}(\mathfrak g)$ be its symmetric algebra, $\mathcal U(\mathfrak g)$ its universal enveloping algebra,…

Kirillov's conjecture. Kirillov conjectured that this formulation of Harish-Chandra's map is an algebra isomorphism for all finite-dimensional Lie algebras.