On the ${\mathbb{A}}^1$-invariance of ${\mathrm{K}}_2$ of Chevalley groups of simply-laced type

Sergei Sinchuk

In this paper we study the ${\mathbb{A}}^1$-invariance of the unstable functor ${\mathrm{K}}_2(\Phi ,R)$ in the case when $\Phi$ is an irreducible root system of type $\mathsf{ADE}$ containi…