2 problems

Quantum Gel'fand–Kirillov field-isomorphism conjecture. The map $\rho$ should provide an isomorphism between a quotient field of $\widehat{U}_q(\mathfrak{sl}_{n+1})$ and a quotient…

Gorsky–Neguț conjecture. There exists an action, with certain properties, of the quantum affine algebra $U_{p^{1/2}}\big(\widehat{\mathfrak{gl}}_n\big)$ on $\mathcal{F}_u^{\sigma}$…