Now showing items 1-6 of 6

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      An 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 ...
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      Grupos 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 ...
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      Links 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 ...
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      Minimal linear representations of the low-dimensional nilpotent lie algebras  [Article]

      Benjumea Acevedo, Juan Carlos; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (2008)
      The main goal of this paper is to compute a minimal matrix representation for each non-isomorphic nilpotent Lie algebra of dimension less than 6. Indeed, for each of these algebras, we search the natural number n ∈ N \ ...
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      Simply 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 ...
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      Some advances in the research on Lie algebras  [Presentation]

      Benjumea Acevedo, Juan Carlos; Falcón Ganfornina, Raúl Manuel; Fernández Ternero, Desamparados; Márquez García, María del Carmen; Núñez Valdés, Juan (2008)
      The main goal of this poster, which is written in the form of a survey and tries to show some aspects of the research of authors on Lie algebras, is to pay homage to the memory of Pilar Pisón Casares, who was firstly teacher ...