Article ID Journal Published Year Pages File Type
4585626 Journal of Algebra 2012 12 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory