Free Nilpotent Lie Algebras Admitting Ad-Invariant Metrics

Abstract

In this work we find necessary and sufficient conditions for a free nilpotent or a free metabelian nilpotent Lie algebra to be endowed with an ad-invariant metric. For such nilpotent Lie algebras admitting an ad-invariant metric the corresponding automorphisms groups are studied.

References in corpus (2)

• Nilpotent metric Lie algebras of small dimension
• Naturally reductive pseudo-Riemannian spaces