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Artículo
Leibniz Algebras Whose Semisimple Part is Related to sl2
(Springer, 2017)
In this paper we identify the structure of complex finite-dimensional Leibniz algebras with associated Lie algebras sl1 2⊕sl2 2⊕· · ·⊕sls 2⊕R, where R is a solvable radical. The classifications of such Leibniz algebras ...
Artículo
Leibniz algebras with associated Lie algebras sl_2\dot{+} R (dim R=2)
(Cornell University, 2011)
From the theory of finite dimensional Lie algebras it is known that every finite dimensional Lie algebra is decomposed into a semidirect sum of semisimple subalgebra and solvable radical. Moreover, due to work of ...
Artículo
Naturally graded Zinbiel algebras with nilindex n - 3
(Elsevier, 2014)
We present the classification of a subclass of n-dimensional naturally graded Zinbiel algebras. This subclass has the nilindex n − 3 and the characteristic sequence (n − 3, 2, 1). In fact, this result completes the ...
Artículo
p-Filiform Zinbiel algebras
(Elsevier, 2013)
The paper deals with the classification of a subclass of finite-dimensional Zinbiel algebras: the naturally graded p-filiform Zinbiel algebras. A Zinbiel algebra is the dual to Leibniz algebra in Koszul sense. We prove ...
Artículo
Leibniz Algebras Associated to Extensions of sl 2
(Taylor and Francis, 2015)
In this work, we investigate the structure of Leibniz algebras whose associated Lie algebra is a direct sum of sl2 and the solvable radical. In particular, we obtain the description of such algebras when: the ideal ...