The Wells map for abelian extensions of 3-Lie algebras
The Wells map relates automorphisms with cohomology in the setting of extensions of groups and Lie algebras. We construct the Wells map for some abelian extensions of 3-Lie algebras to obtain obstruction classes in for a pair of automorphisms in to be inducible from an automorphism of . Application to free nilpotent 3-Lie algebras is discussed.