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Browsing by Author "Navarro, R. M."
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Article
Algebra of derivations of Lie algebras
Camacho Santana, Luisa María; Gómez Martín, José Ramón; Navarro, R. M. (Elsevier, 2001)We show a method to determine the space of derivations of any Lie algebra, and in particular we apply this method to a ...
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Article
Complex cyclic Leibniz superalgebras
Camacho Santana, Luisa María; Navarro, R. M.; Omirov, Bakhrom Abdazovich (Springer, 2020)Since Loday introduction of Leibniz algebras as a generalisation of Lie algebras, many results of the theory of Lie ...
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Article
Heisenberg superalgebras
Camacho Santana, Luisa María; Gómez Martín, José Ramón; Navarro, R. M. (Taylor and Francis, 2009)Heisenberg algebras are the only Lie algebras (g, [, ]) which verify [g, g] = Z(g) and dim(Z(g)) = 1, where Z denotes the ...
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Article
Mathematica and Heisenberg Type Superalgebras
Camacho Santana, Luisa María; Gómez Martín, José Ramón; Navarro, R. M.; Rodríguez, I. (Heldermann Verlag, 2006)With the support of software Mathematica 4.0 we obtain important properties of Heisenberg type superalgebras, this type ...
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Article
On Leibniz Superalgebras with Even Part Corresponding to sl2
Camacho Santana, Luisa María; Navarro, R. M. (Springer, 2021)In this paper we describe finite-dimensional complex Leibniz superalgebras whose even part is the simple Leibniz algebra ...
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Article
On Naturally Graded Lie and Leibniz Superalgebras
Camacho Santana, Luisa María; Navarro, R. M.; Sánchez, J. M. (Springer, 2020)In general, the study of gradations has always represented a cornerstone in the study of non-associative algebras. In ...
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Article
On Solvable Lie and Leibniz Superalgebras with maximal codimension of nilradical
Camacho Santana, Luisa María; Navarro, R. M.; Omirov, Bakhrom Abdazovich (Cornell University, 2020)Along this paper we show that under certain conditions the method for describing of solvable Lie and Leibniz algebras ...
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Article
On solvable Lie and Leibniz superalgebras with maximal codimension of nilradical
Camacho Santana, Luisa María; Navarro, R. M.; Omirov, Bakhrom Abdazovich (Elsevier, 2022)Along this paper we show that under certain conditions the method for describing of solvable Lie and Leibniz algebras ...