Now showing items 1-17 of 17

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      Abelian subalgebras and ideals of maximal dimension in Lie algebras  [PhD Thesis]

      Ceballos González, Manuel (2012-03-27)
      En esta tesis se han estudiado subálgebras e ideales abelianos de álgebras de Lie, considerando dos invariantes, llamados alfa y beta, que representan el máximo entre la dimensión de todas las subálgebras abelianas (ideales ...
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      An algorithm to compute abelian subalgebras in linear algebras of upper-triangular matrices  [Article]

      Ceballos González, Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (American Institute of Physics, 2009)
      This paper deals with the maximal abelian dimension of the Lie algebra hn, of nxn upper-triangular matrices. Regarding this, we obtain an algorithm which computes abelian subalgebras of hn as well as its implementation ...
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      Combinatorial structures of three vertices and Lie algebras  [Presentation]

      Cáceres González, José; Ceballos González, Manuel; Núñez Valdés, Juan; Puertas González, María Luz; Tenorio Villalón, Ángel Francisco (Computational and Mathematical Methods in Science and Engineering, 2011)
      In this paper, we characterize digraphs of 3 vertices associated with Lie algebras according to isomorphism classes of these associated Lie algebras. At this respect, we introduce and implement two algorithmic methods: the ...
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      Computational algorithm for obtaining Abelian subalgebras in Lie algebras  [Article]

      Ceballos González, Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (World Academy of Science, Engineering and Technology, 2009)
      The set of all abelian subalgebras is computationally obtained for any given finite-dimensional Lie algebra, starting from the nonzero brackets in its law. More concretely, an algorithm is described and implemented to ...
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      Computational method for obtaining filiform Lie algebras of arbitrary dimension  [Presentation]

      Ceballos González, Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (WSEAS Press, 2011-09)
      This paper shows a new computational method to obtain filiform Lie algebras, which is based on the relation between some known invariants of these algebras and the maximal dimension of their abelian ideals. Using this ...
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      Computing abelian subalgebras for linear algebras of upper-triangular matrices from an algorithmic perspective  [Article]

      Ceballos González, Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (Ovidius University, 2016)
      In this paper, the maximal abelian dimension is algorithmically and computationally studied for the Lie algebra hn, of n×n upper-triangular matrices. More concretely, we define an algorithm to compute abelian subalgebras ...
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      Graph operations and Lie algebras  [Article]

      Cáceres González, José; Ceballos González, Manuel; Núñez Valdés, Juan; Puertas González, María Luz (Taylor & Francis, 2013)
      This paper deals with several operations on graphs and combinatorial structures linking them with their associated Lie algebras. More concretely, our main goal is to obtain some criteria to determine when there exists a ...
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      Invariant complex structures on 6-nilmanifolds classification, Frölicher spectral sequence and special Hermitian metrics  [Article]

      Ceballos González, Manuel; Otal Germán, Antonio; Ugarte Vilumbrales, Luis; Villacampa Gutiérrez, Raquel (Springer, 2016-01)
      We classify invariant complex structures on 6-dimensional nilmanifolds up to equivalence. As an application, the behaviour of the associated Frölicher sequence is studied as well as its relation to the existence of ...
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      Minimal faithful upper-triangular matrix representations for solvable Lie algebras  [Article]

      Ceballos González, Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (Elsevier, 2017-07)
      A well-known result on Lie Theory states that every finite-dimensional complex solvable Lie algebra can be represented as a matrix Lie algebra, with upper-triangular square matrices as elements. However, this result does ...
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      Obtaining combinatorial structures associated with low-dimensional Leibniz algebras  [Presentation]

      Ceballos González, Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (2013)
      In this paper, we analyze the relation between Leibniz algebras and combinatorial structures. More concretely, we study the properties to be satisfied by (pseudo)digraphs so that they are associated with low-dimensional ...
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      On abelian subalgebras and ideals of maximal dimension in supersolvable Lie algebras  [Article]

      Ceballos González, Manuel; Towers, David A. (Elsevier, 2014-02)
      In this paper, the main objective is to compare the abelian subalgebras and ideals of maximal dimension for finite-dimensional supersolvable Lie algebras. We characterise the maximal abelian subalgebras of solvable Lie ...
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      Pedro de Lucuce y Ponce y las instituciones matemático-militares españolas del siglo XVIII  [Article]

      Ceballos González, Manuel; Núñez Valdés, Juan; Villacampa Gutiérrez, Raquel (Real Sociedad Matemática Española, 2013)
      Dos años después, vuelve a la sección de Historia de La Gaceta de la RSME el tema matemático-militar durante el siglo XVIII español, tema y periodo dominados por la figura del marino Jorge Juan y Santacilia (1713-1773), ...
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      Relations between combinatorial structures and Lie algebras: centers and derived Lie algebras  [Article]

      Ceballos González, Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (Springer, 2015-04)
      In this paper, we study how two important ideals of a given Lie algebra g (namely, the center Z(g) and the derived Lie algebra D(g)) can be translated into the language of Graph Theory. In this way, we obtain some criteria ...
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      ¿Se puede mejorar la enseñanza de las Matemáticas en cualquiera de sus niveles?  [Article]

      Ceballos González, Manuel; Núñez Valdés, Juan; Rodríguez Arévalo, María Luisa (Universidad Politécnica de Madrid, 2012-10)
      Los autores piensan que es perfectamente factible mejorar la enseñanza de las Matemáticas en cualquiera de sus niveles educativos. A tal fin, reflexionan en esta aportación sobre la situación actual y plantean algunas ...
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      Study of Lie algebras by using combinatorial structures  [Presentation]

      Ceballos González, Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (2010)
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      The computation of Abelian subalgebras in low-dimensional solvable Lie algebras  [Article]

      Ceballos González, Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (World Scientific and Engineering Academy and Society (WSEAS), 2010-01)
      The main goal of this paper is to compute the maximal abelian dimension of each solvable nondecomposable Lie algebra of dimension less than 7. To do it, we apply an algorithmic method which goes ruling out non-valid maximal ...
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      The computation of abelian subalgebras in the Lie algebra of upper-triangular matrices  [Article]

      Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco; Ceballos González, Manuel (2008)