5 papers
Free nilpotent and nilpotent quadratic Lie algebras
Pilar Benito, Daniel de-la-Concepción, Jesús Laliena
In this paper we introduce an equivalence between the category of the t-nilpotent quadratic Lie algebras with d generators and the category of some symmetric invariant bilinear for…
New equivalences to axioms weaker than AC in topology
Daniel de-la-Concepción
In this work, new equivalences of topological statements and weaker axioms than are proven. This equivalences include the use of anti-properties. All this equivalences h…
Universal enveloping algebras for Malcev color algebras
Daniel de-la-Concepción
In this paper we give a construction of the universal enveloping algebra of a Malcev algebra in categories of group algebra comodules with a symmetry given by a bicharacter of the…
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…
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…