Now showing items 1-20 of 57

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      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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      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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      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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      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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      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)
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      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 ...
    • PhD Thesis
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      Algebras de Lie p-filiformes 

      Camacho Santana, Luisa María (1999)
    • PhD Thesis
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      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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      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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      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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      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 ...
    • PhD Thesis
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      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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      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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      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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      Cohomology of some Nilpotent Lie Algebras 

      Camacho Santana, Luisa María; Gómez Martín, José Ramón; Navarro Olmo, Rosa María (Universidad de Extremadura, 2000)
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      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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      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 ...
    • PhD Thesis
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      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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      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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      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 ...