5 problems

Let ${\bf g}$ be one of the twisted affine Lie algebra types $A_{2n}^{(2)}$ or $A_{2n-1}^{(2)}$, or let the type be $G_2^{(1)}$. Let ${\cal R}(\lambda)$ denote the universal dynami…

Let $cmathfrak hto eqcmathfrak g$ be an inclusion of Lie algebras, let $Zto eq(cmathop{wedge}^3cmathfrak g)^{cmathfrak g}$, and let a formal classical dynamical $r$-matrix mean a f…

Conjecture on the relation between $\Psi$ and $J'$. The quantization $\Psi$ of the PL dynamical $r$-matrix $r_0-r'$ is related to the pseudotwist $J'$ by

Existence conjecture. Any modified dynamical $r$-matrix admits a formal twist quantization.

Let ${\frak h}$ be a Lie algebra, ${\frak g}$ a Lie algebra containing it, and let … be an arbitrary classical triangular dynamical $r$-matrix. Denote by…