  We establish that the set of local automorphisms
$\textrm{LAut}(\mathfrak{sl}_2)$ is the group
$\textrm{Aut}^{\pm}(\mathfrak{sl}_2)$ of all automorphisms and
anti-automorphisms. For $n\geq 3$ we prove that anti-automorphisms are local
automorphisms of $\mathfrak{sl}_n$.

Rings and Algebras