Free Nilpotent Lie Algebras Admitting Ad-Invariant Metrics

Published 25 Apr 2011 in math.RA | (1104.4773v2)

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.

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