2-Local Derivations on Symmetrizable Kac-Moody Lie Algebras

We establish that every 2-local inner derivation on a symmetrizable Kac-Moody Lie algebra [Formula: see text] over the field [Formula: see text] is a derivation. In addition, we demonstrate that if [Formula: see text], where [Formula: see text] is the derived subalgebra of [Formula: see text], then [Formula: see text] admits a 2-local derivation which is not a derivation.