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Group Actions, since Lagrange to present timeAcción de grupos, de Lagrange a nuestros días
(Pereira : Universidad Tecnológica de PereiraFacultad de Ciencias Básicas, 2011)
Symplectic structures on nilmanifolds: an obstruction for its existence
(Heldermann Verlag, 2014-08)
In this work we introduce an obstruction for the existence of symplectic structures on nilpotent Lie algebras. Indeed, a necessary condition is presented in terms of the cohomology of the Lie algebra. Using this obstruction ...
On the theorem of the primitive element with applications to the representation theory of associative and Lie algebras
(2014)
We describe all finite dimensional uniserial representations of a commutative associative (resp. abelian Lie) algebra over a perfect (resp. sufficiently large perfect) field. In the Lie case the size of the field depends ...
Algebras de vértices libres y álgebras de Lie conformes no lineales
(2016-12)
El presente trabajo constituye una revisión de la construcción del álgebra de vértices universal envolvente de un álgebra de Lie conforme. Comenzamos dando los resultados básicos relacionados con las álgebras conformes y ...
On pseudo-bialgebras
(Academic Press Inc Elsevier Science, 2012-12)
We study pseudoalgebras from the point of view of pseudo-dual of classical Lie coalgebra structures. We define the notions of Lie H-coalgebra and Lie pseudo-bialgebra. We obtain the analog of the CYBE, the Manin triples ...
Lie 3−algebra and super-affinization of split-octonions
(World Scientific Publishing, 2011-05-18)