Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896324 | Journal of Geometry and Physics | 2011 | 19 Pages |
Abstract
The whole class of complex Lie algebras gg having a naturally graded nilradical with characteristic sequence c(g)=(dimg−2,1,1)c(g)=(dimg−2,1,1) is classified. It is shown that up to one exception, such Lie algebras are solvable.
► The derivations of nilpotent algebras of nilindex (n−2,1,1)(n−2,1,1) are determined. ► The extensions of these nilpotent algebras by the derivations are fully classified. ► The solvability properties and Levi subalgebras of the extensions are analyzed.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
J.M. Ancochea Bermúdez, R. Campoamor-Stursberg, L. García Vergnolle,