Decomposition of matrices from $S{L}_2(K[x,y])$

Y. Chapovskyi, O. Kozachok, A. Petravchuk

Let $\mathbb{K}$ be an algebraically closed field of characteristic zero and $\mathbb{K}[x,y]$ the polynomial ring. The group ${\text{SL}}_2\left(\mathbb{K}[x,y]\right)$ of all mat…