- idUS
- Investigación
- Ciencias
- Geometría y Topología
- Browsing Geometría y Topología by Author
Browsing Geometría y Topología by Author "Tenorio Villalón, Ángel Francisco"
Now showing items 1-20 of 26
-
Article
A historical review of the classifications of Lie algebras
Boza Prieto, Luis; Fedriani Martel, Eugenio Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (Unión Matemática Argentina, 2013)The problem of Lie algebras’ classification, in their different varieties, has been dealt with by theory researchers since ...
-
PhD Thesis
Abelian subalgebras and ideals of maximal dimension in Lie algebras
Ceballos González, Manuel (2012-03-27)En esta tesis se han estudiado subálgebras e ideales abelianos de álgebras de Lie, considerando dos invariantes, llamados ...
-
Article
Algunas aplicaciones de la Teoría de Lie a la economía y las finanzas
Mateos Contreras, Consuelo; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco; Hernández Fernández, Isabel (2008) -
Article
An algorithm to compute abelian subalgebras in linear algebras of upper-triangular matrices
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 ...
-
Article
An obstruction to represent abelian lie algebras by unipotent matrices
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 ...
-
Article
Análisis de algunas WebQuest dedicadas a la Historia de las Matemáticas
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (Sociedad Canaria Isaac Newton de Profesores de Matemáticas, 2010-03)Este artículo trata el concepto y la utilización de las WebQuest por parte del profesorado de Matemáticas en los diferentes ...
-
Article
Application of statistical techniques for comparing Lie algebra algorithms
Fernández Ternero, Desamparados; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (International Center for Scientific Research and Studies Publication, 2012-03)This paper is devoted to study and compare two algebraic algorithms related to the computation of Lie algebras by using ...
-
Presentation
Combinatorial structures of three vertices and Lie algebras
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 ...
-
Article
Computational algorithm for obtaining Abelian subalgebras in Lie algebras
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 ...
-
Presentation
Computational method for obtaining filiform Lie algebras of arbitrary dimension
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 ...
-
Article
Computing abelian subalgebras for linear algebras of upper-triangular matrices from an algorithmic perspective
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 ...
-
Article
Un estudio crítico de WebQuest con contenido geométrico
Falcón Ganfornina, Óscar Jesús; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (2008) -
PhD Thesis
Grupos de Lie asociados a álgebras de Lie filiformes
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 ...
-
Article
Lie theory: applications to problems in Mathematical Finance and Economics
Hernández Fernández, Isabel; Mateos Contreras, Consuelo; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (Elsevier, 2009-02-15)This paper is devoted to show and explain some applications of Lie theory to solve some problems in Economics and ...
-
Article
Minimal faithful upper-triangular matrix representations for solvable Lie algebras
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 ...
-
Article
Minimal linear representations of the low-dimensional nilpotent lie algebras
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 ...
-
Presentation
Obtaining combinatorial structures associated with low-dimensional Leibniz algebras
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 ...
-
Presentation
El papel de las webquest en las NTIC
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (2008-07)La ponencia que aquí se presenta persigue un triple objetivo. Por una parte, mostrarle al lector en general, y al profesorado ...
-
Article
Relations between combinatorial structures and Lie algebras: centers and derived Lie algebras
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 ...
-
Article
Simply connected lie subgroups of the unipotent Lie group of order 4
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 ...