Browsing Artículos (Matemática Aplicada I) by Subject 

Browsing Artículos (Matemática Aplicada I) by Subject "Leibniz algebra"

Now showing items 1-20 of 24

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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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      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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      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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      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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      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 ...
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      Leibniz algebras constructed by Witt algebras 

      Camacho Santana, Luisa María; Omirov, Bakhrom Abdazovich; Kurbanbaev, T.K. (Taylor and Francis, 2018)
      We describe infinite-dimensional Leibniz algebras whose associated Lie algebra is the Witt algebra and we prove the triviality of low-dimensional Leibniz cohomology groups of the Witt algebra with the coefficients in itself.
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      Leibniz algebras of Heisenberg type 

      Calderón, Antonio J.; Camacho Santana, Luisa María; Omirov, Bakhrom Abdazovich (Elsevier, 2016)
      We introduce and provide a classification theorem for the class of Heisenberg-Fock Leibniz algebras. This category of ...
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      Leibniz algebras of nilindex n-3 with characteristic sequence (n-3, 2, 1) 

      Camacho Santana, Luisa María; Cañete, E. M.; Gómez Martín, José Ramón; Redjepov, Sh. B. (Elsevier, 2013)
      In this paper we present the classification of a subclass of naturally graded Leibniz algebras. This subclass has the ...
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      Leibniz Algebras Whose Semisimple Part is Related to sl2 

      Camacho Santana, Luisa María; Gómez Vidal, S.; Omirov, Bakhrom Abdazovich; Karimjanov, Iqboljon A. (Springer, 2017)
      In this paper we identify the structure of complex finite-dimensional Leibniz algebras with associated Lie algebras ...
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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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      Naturally graded (n-3)--filiform Leibniz algebras 

      Camacho Santana, Luisa María; Gómez Martín, José Ramón; Omirov, Bakhrom Abdazovich (Elsevier, 2010)
      Naturally graded nilpotent p-filiform Leibniz algebras are studied for p > n − 4, where n is the dimension of the algebra. Using linear algebra methods we describe the naturally graded (n − 3)-filiform Leibniz algebras.
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      Naturally Graded 2-Filiform Leibniz Algebras 

      Camacho Santana, Luisa María; Gómez Martín, José Ramón; González, A.J.; Omirov, Bakhrom Abdazovich (Taylor and Francis, 2010)
      The Leibniz algebras appear as a generalization of the Lie algebras [8]. The classification of naturally graded p-filiform ...
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      Naturally graded quasi-filiform Leibniz algebras 

      Camacho Santana, Luisa María; Gómez Martín, José Ramón; González, A. J.; Omirov, Bakhrom Abdazovich (Elsevier, 2009)
      The classification of naturally graded quasi-filiform Lie algebras is known; they have the characteristic sequence .n - ...
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      Naturally graded Zinbiel algebras with nilindex n - 3 

      Adashev, J.Q.; Camacho Santana, Luisa María; Gómez Vidal, S.; Karimjanov, Iqboljon A. (Elsevier, 2014)
      We present the classification of a subclass of n-dimensional naturally graded Zinbiel algebras. This subclass has the ...
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      On Filiform and 2-Filiform Leibniz Algebras of Maximum Length 

      Cabezas, J. M.; Camacho Santana, Luisa María; Rodríguez, I. M. (Heldermann Verlag, 2008)
      Leibniz algebras appear as a generalization of Lie algebras. The classification of naturally graded p-filiform Lie algebras ...
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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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      p-Filiform Zinbiel algebras 

      Camacho Santana, Luisa María; Cañete Molero, Elisa María; Gómez Vidal, S.; Omirov, Bakhrom Abdazovich (Elsevier, 2013)
      The paper deals with the classification of a subclass of finite-dimensional Zinbiel algebras: the naturally graded ...
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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, ...