On centrality of even orthogonal ${\mathrm{K}}_2$

Abstract

We give a short uniform proof of centrality of ${\mathrm{K}}_2(\Phi ,R)$ for all simply-laced root systems $\Phi$ of rank $\ge 3$.

References in corpus (2)

• On centrality of $K_2$ for Chevalley groups of type $E_l$
• A local-global principle for symplectic ${\mathrm{K}}_2$

Cited by in corpus (7)

• Centrality of ${\mathrm{K}}_2$-functor revisited
• Centrality of ${\mathrm{K}}_2$ for Chevalley groups: a pro-group approach
• On the ${\mathbb{A}}^1$-invariance of ${\mathrm{K}}_2$ modeled on linear and even orthogonal groups
• Centrality of odd unitary $K_2$-functor
• Another presentation of orthogonal Steinberg groups
• A presentation of relative unitary Steinberg groups
• On the ${\mathbb{A}}^1$-invariance of ${\mathrm{K}}_2$ of Chevalley groups of simply-laced type