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Listar por autor "Camacho Santana, Luisa María"
Mostrando ítems 1-20 de 57
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Artículo
3-filiform Leibniz algebras of maximum length
Camacho Santana, Luisa María; Cañete Molero, Elisa María; Gómez Martín, José Ramón; Omirov, Bakhrom Abdazovich (Springer, 2016)This work completes the study of the solvable Leibniz algebras, more precisely, it completes the classi cation of the 3- ...
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Artículo
3-filiform Lie algebras of dimension 8
Camacho Santana, Luisa María; Gómez Martín, José Ramón; Navarro, R.M. (L'université Blaise Pascal, 1999)We give, up to isomorphism and in dimension 8, all the 3-filiform Lie algebras (whose Goze’s invariant is (n - 3,1,1,1))..
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Artículo
A class of nilpotent lie algebras
Cabezas, J. M.; Camacho Santana, Luisa María; Gómez Martín, José Ramón; Navarro, R.M. (Taylor and Francis, 2000)A p-filiform Lie algebra g is a nilpotent Lie algebra for which Goze’s invariant is (n–p,1,…,1). These Lie algebras are ...
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Artículo
Abelian groups gradings on null-filiform and one-parametric filiform Leibniz algebras
Calderón, Antonio Jesús; Camacho Santana, Luisa María; Kaygorodov, Ivan; Omirov, Bakhrom Abdazovich (Cornell University, 2021)We classify, up to equivalences, all abelian groups gradings on null-filiform and oneparametric filiform Leibniz algebras. ...
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Artículo
About a family of naturally graded no p-filiform lie algebras
Camacho Santana, Luisa María; Gómez Martín, José Ramón; González Regaña, Alfonso José (Universidad de Extremadura, 2005) -
Artículo
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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Tesis Doctoral
Algebras de Lie p-filiformes
Camacho Santana, Luisa María (1999) -
Tesis Doctoral
Álgebras de Leibniz de longitud máxima
Cañete Molero, Elisa María (2012-12-11)Las álgebras no asociativas aparecen a principios del siglo XX como consecuencia del desarrollo de la Mecánica Cuántica. ...
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Artículo
Central extensions of filiform Zinbiel algebras
Camacho Santana, Luisa María; Karimjanov, Iqboljon A.; Kaygorodov, Ivan; Khudoyberdiyev, Abror Kh. (Taylor and Francis, 2020)In this paper we describe central extensions (up to isomorphism) of all complex null-filiform and filiform Zinbiel algebras. ...
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Artículo
Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
Adashev, J.K.; Camacho Santana, Luisa María; Omirov, Bakhrom Abdazovich (Elsevier, 2017)In this paper we describe central extensions of some nilpotent Leibniz algebras. Namely, central extensions of the Leibniz ...
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Artículo
Central extensions of some solvable Leibniz superalgebras
Camacho Santana, Luisa María; Navarro Olmo, Rosa María; Omirov, Bakhrom Abdazovich (ScienceDirect, 2023-01)This work is devoted to the study of central extensions of some solvable Leibniz superalgebras. We show that a solvable ...
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Tesis Doctoral
Clasificación y estudio de extensiones centrales de ciertas álgebras no asociativas
Kaygorodov, Ivan (2021-03-16)La clasificación de álgebras es un importante problema en el Álgebra Moderna. En estos trabajos de investigación, nos ...
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Artículo
Classical properties of algebras using a new graph association
Aquino, R. M.; Camacho Santana, Luisa María; Cañete Molero, Elisa María; Márquez Pérez, Alberto (Cornell University, 2017)We study the relation between algebraic structures and Graph Theory. We have de ned ve di erent weighted digraphs ...
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Artículo
Classification of some nilpotent class of leibniz superalgebras
Camacho Santana, Luisa María; Gómez Martín, José Ramón; Navarro Olmo, Rosa María; Omirov, Bakhrom Abdazovich (Springer, 2010)The aim of this work is to present the description of Leibniz superalgebras up to isomorphism with characteristic sequence (n|m − 1, 1) and nilindex n + m.
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Artículo
Cohomology of some Nilpotent Lie Algebras
Camacho Santana, Luisa María; Gómez Martín, José Ramón; Navarro Olmo, Rosa María (Universidad de Extremadura, 2000) -
Artículo
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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Artículo
Complex Nilpotent Leibniz Superalgebras with Nilindex Equal to Dimension
Camacho Santana, Luisa María; Gómez Martín, José Ramón; Omirov, Bakhrom Abdazovich; Khudoyberdiyev, Abror Kh. (Taylor and Francis, 2013)We present the description up to isomorphism of Leibniz superalgebras with the characteristic sequence equal to n m1 ...
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Tesis Doctoral
Graduaciones naturales de álgebras de Leibniz
González Regaña, Alfonso José (2004-09-03)Las álgebras de Leibniz fueron introducidas por Loday hace apenas una década y constituyen, en un cierto sentido, una ...
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Artículo
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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Artículo
Leibniz Algebras Associated to Extensions of sl 2
Camacho Santana, Luisa María; Gómez Vidal, S.; Omirov, Bakhrom Abdazovich (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 ...