Now showing items 1-15 of 15

    • IconA constructive method to determine the variety of filiform Lie algebras  [Article]

      Echarte Reula, Francisco Javier; Márquez García, María del Carmen; Núñez Valdés, Juan (Institute of Mathematics, Czech Academy of Sciences, 2006-12)
      In this paper we use cohomology of Lie algebras to study the variety of laws associated with filiform Lie algebras of a given dimension. As the main result, we describe a constructive way to find a small set of polynomials ...
    • IconAn obstruction to represent abelian lie algebras by unipotent matrices  [Article]

      Benjumea Acevedo, Juan Carlos; Echarte Reula, Francisco Javier; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (2004)
      The aim of this paper is the study of abelian Lie algebras as subalgebras of the nilpotent Lie algebra gn associated with Lie groups of upper-triangular square matrices whose main diagonal is formed by 1. We also give an ...
    • IconCharacterization of complex filiform Lie algebras of dimension 0 according to whether they are or not derived from others  [Article]

      Echarte Reula, Francisco Javier; Gómez Martín, José Ramón; Núñez Valdés, Juan (Universidad de Zaragoza, 1993)
      In this paper, we characterize those Complex Filiform Lie Algeoras of dimension 0 which are derived from other Solvable Lie ALgebras of higher dimensions. This result and the previous one given in ({0]) allow us to lind a ...
    • IconClasificación de las álgebras de Lie filiformes complejas derivadas de otras álgebras  [Doctoral Thesis]

      Ordoñez Sánchez, Manuel (1997)
      "El problema de la clasificación de las álgebras de Lie se reduce actualmente a la clasificación de las álgebras de Lie resolubles complejas, debido por una parte a al conocida descomposición de Levi de un álgebra de Lie ...
    • IconClasificación de las álgebras de Lie nilpotentes complejas filiformes de dimensión 9  [Doctoral Thesis]

      Gómez Martín, José Ramón (1990)
    • IconComplex nilpotent Lie Algebras of dimension 7 which are not derived from others  [Article]

      Echarte Reula, Francisco Javier; Gómez Martín, José Ramón; Núñez Valdés, Juan (Universidad de Extremadura, 1994)
    • IconDescription of some families of filiform Lie algebras  [Article]

      Echarte Reula, Francisco Javier; Núñez Valdés, Juan; Ramírez López, Francisco (University of Houston, 2008)
      In this paper we describe some families of filiform Lie algebras by giving a method which allows to obtain them in any arbitrary dimension n starting from the triple (p, q, m), where m = n and p and q are, respectively, ...
    • IconEstructuras polinómicas de tipo (h, k)  [Doctoral Thesis]

      Fernández Andrés, Manuel (1985-05-02)
      En esta memoria se definen las estructuras polinómicas de tipo (h, k) como un campo tensorial f de tipo (1 1) no nulo de rango constante cumpliendo: ... ;serif'; font-size: 12pt">a) F elevado a H más F elevado a K = 0. b) ...
    • IconGrupos de Lie asociados a álgebras de Lie filiformes  [Doctoral Thesis]

      Tenorio Villalón, Ángel Francisco (2002)
      En esta tesis se plantea el problema de determinar a partir de un álgebra de Lie, cuáles son los grupos Lie cuya álgebra de Lie es L. El objetivo fundamental entonces consiste en introducir mecanismos adecuados para hallar ...
    • IconIdeales conmutativos en las álgebras de Lie resolubles y nilpotentes  [Doctoral Thesis]

      López Garzón, Juan José (1987-05-27)
      En esta memoria que presentamos para optar al grado de Doctor, hemos estudiado diversos aspectos de las álgebras de Lie resolubles y nilpotentes. La dificultad de su estudio, todavía no se ha logrado su clasificación, cosa ...
    • IconInvariantes integrales en grupos de Lie  [Doctoral Thesis]

      Cabrerizo Jaraíz, José Luis (1973)
      En este trabajo, damos el cálculo de longitudes de curvas y n-medidas de n-superficies contenidas en un grupo de LIE, por un procedimiento original. Por construcción estas medidas son invariantes a izquierda por elementos ...
    • IconLinks among characteristically nilpotent, c-graded and derived filiform lie algebras  [Article]

      Benjumea Acevedo, Juan Carlos; Echarte Reula, Francisco Javier; Márquez García, María del Carmen; Núñez Valdés, Juan (2005)
      The aim of this paper is to study the interconnectivity among Lie algebras that are characteristically nilpotent, derived and c-graded filiform, establishing some characterization theorems involving them. At the same ...
    • IconMinimalidad y J (4, ±2)  [Doctoral Thesis]

      Alcaraz Martínez, Antonio (1975-06-03)
    • IconSimply connected lie subgroups of the unipotent Lie group of order 4  [Article]

      Benjumea Acevedo, Juan Carlos; Echarte Reula, Francisco Javier; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (Soochow University, Department of Mathematics, 2006-04)
      In this paper we obtain simply connected Lie subgroups (up to isomorphism) of the Lie group G4 of upper triangular matrices of order 4 having “1” in its main diagonal. To do it, we determine Lie subalgebras of the Lie ...
    • IconSome properties of complex filiform Lie Algebras  [Article]

      Echarte Reula, Francisco Javier; Gómez Martín, José Ramón; Núñez Valdés, Juan (Universidad de Extremadura, 1992)