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math.RA2016
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…
math.RA2015
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…
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…