Now showing items 1-5 of 5

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      A 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 ...
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      Different methods for the study of obstructions in the schemes of Jacobi  [Article]

      Carles, Roger; Márquez García, María del Carmen (Association des Annales de l'Institut Fourier, 2011)
      In this paper the problem of obstructions in Lie algebra deformations is studied from four different points of view. First, we illustrate the method of local ring, an alternative to Gerstenhaber’s method for Lie deformations. ...
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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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      Normal approximations of regular curves and surfaces  [Article]

      Carriazo Rubio, Alfonso; Márquez García, María del Carmen; Ugail, Hassan (Faculty of Sciences and Mathematics, University of Nis, Serbia, 2015)
      Bezier curves and surfaces are two very useful tools in Geometric Modeling, with many applications. In this paper, we will offer a new method to provide approximations of regular curves and surfaces by Bezier ones, with ...
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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 ...