The quantization correspondence conjecture for nilpotent algebraic groups

Let $G$ be an affine connected nilpotent algebraic group over $\mathbb{C}$, and let $\mathfrak{g}$ be its Lie algebra. A Hopf 2-cocycle on the coordinate Hopf algebra of $G$ is considered up to gauge equivalence, and the classical Yang–Baxter equation (CYBE) is the equation on $r\in\wedge^2\mathfrak{g}$ defining the relevant classical structures. Quantization correspondence conjecture. Gauge equivalence classes of Hopf 2-cocycles for $G$ are in correspondence with solutions of the CYBE in $\wedge^2\mathfrak{g}$, given by $J(r)\leftarrow r$, where $f$ is any universal quantization formula. The parser supplies no evidence that this correspondence has been proved or disproved; its status is therefore open.