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math.RA2013
A note on extensions of nilpotent algebras of Type 2
Pilar Benito, Daniel de-la-Concepción
We propose the study and description of the structure of complex Lie algebras with nilradical a nilpotent Lie algebra of type 2 by using sl2(C)-representation theory. Our results w…
math.RT2013
On Levi extensions of nilpotent Lie algebras
Pilar Benito, Daniel de-la-Concepción
Levi's theorem decomposes any arbitrary Lie algebra over a field of characteristic zero, as a direct sum of a semisimple Lie algebra (named Levi factor) and its solvable radical. G…