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ListarArtículos (Matemática Aplicada I) por materia "Lie algebra"

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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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      A historical review of the classifications of Lie algebras 

      Boza Prieto, Luis; Fedriani Martel, Eugenio Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (Unión Matemática Argentina, 2013)
      The problem of Lie algebras’ classification, in their different varieties, has been dealt with by theory researchers since ...
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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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      Directed pseudo-graphs and Lie algebras over finite fields 

      Boza Prieto, Luis; Fedriani Martel, Eugenio Manuel; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad (Institute of Mathematics, Czech Academy of Sciences, 2014-03)
      The main goal of this paper is to show an application of Graph Theory to classifying Lie algebras over finite fields. It ...
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      Isotopism and isomorphism classes of certain Lie algebras over finite fields 

      Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Springer, 2015)
      In the current paper, we study the distribution into isotopism and isomorphism classes of the relevant family FpnFnp of ...
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      Leibniz algebras with associated Lie algebras sl_2\dot{+} R (dim R=2) 

      Camacho Santana, Luisa María; Gómez Vidal, S.; Omirov, Bakhrom Abdazovich (Cornell University, 2011)
      From the theory of finite dimensional Lie algebras it is known that every finite dimensional Lie algebra is decomposed ...
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      On the description of Leibniz algebras with nilindex n−3 

      Cabezas, J. M.; Camacho Santana, Luisa María; Gómez Martín, José Ramón; Omirov, Bakhrom Abdazovich (Akadémiai Kiadó, 2011)
      In this paper we present the classification of a subclass of natu- rally graded Leibniz algebras. These n-dimensional Leibniz algebras have the characteristic sequence equal to (n−3, 3). For this purpose we use the software Mathematica.
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      p-Filiform Leibniz algebras of maximum length 

      Camacho Santana, Luisa María; Cañete Molero, Elisa María; Gómez Martín, José Ramón; Omirov, Bakhrom Abdazovich (Elsevier, 2014)
      The descriptions (up to isomorphism) of naturally graded p-filiform Leibniz algebras and p-filiform (p 3) Leibniz ...
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      Quasi-filiform Leibniz algebras of maximum length 

      Camacho Santana, Luisa María; Cañete Molero, Elisa María; Gómez Martín, José Ramón; Omirov, Bakhrom Abdazovich (Springer, 2011)
      The n-dimensional p-filiform Leibniz algebras of maximum length have already been studied with 0 p 2. For Lie algebras ...
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      Solvable Leibniz Algebras with Filiform Nilradical 

      Camacho Santana, Luisa María; Omirov, Bakhrom Abdazovich; Masutova, K. K. (Springer, 2016)
      In this paper we continue the description of solvable Leibniz algebras whose nilradical is a filiform algebra. In fact, ...
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      Solvable Leibniz algebras with NFn⊕ F1m nilradical 

      Camacho Santana, Luisa María; Omirov, Bakhrom Abdazovich; Masutova, K. K.; Rikhsiboev, Ikrom M. (De Gruyter, 2017)
      All finite-dimensional solvable Leibniz algebras L, having N = NFn⊕ F1m as the nilradical and the dimension of L equal to ...