4 problems

Let $V_2$ be the two-dimensional complex Cartan subalgebra for the Lie algebra of type $G_2$, and let $V_2^{\rm reg}$ be the complement of the six root-kernel lines. Let $W_{G_2}$…

Let $\mathcal{G}$ be a simple complex Lie group, let $T=(\Gamma_{1},\Gamma_{2},\gamma)$ be a Belavin–Drinfeld triple, and let $k_T$ and $\mathcal{H}_T$ be the quantities defined by…

Let ${\mathcal G}$ be a simple complex Lie group. A Belavin–Drinfeld triple is a triple $T=(\Gamma_1,\Gamma_2,\gamma)$, and write $k_T=|\Delta\setminus\Gamma_1|$. The associated to…

Belavin–Drinfeld cluster-structure conjecture. For any Belavin–Drinfeld triple $T=(\Gamma_1,\Gamma_2,\gamma)$ there exists a cluster structure $({\mathcal C}_T,\varphi_T)$ on…