Repositorio de producción científica de la Universidad de Sevilla

Low-dimensional filiform Lie algebras over finite fields

 

Advanced Search
 
Opened Access Low-dimensional filiform Lie algebras over finite fields
Cites
Show item statistics
Icon
Export to
Author: Falcón Ganfornina, Óscar Jesús
Núñez Valdés, Juan
Pacheco Martínez, Ana María
Villar Liñán, María Trinidad
Coordinator/Director: Vasek, Vladimir
Shmaliy, Yuriy S.
Trcek, Denis
Kobayashi, Nobuhiko P.
Choras, Ryszard S.
Klos, Zbigniew
Department: Universidad de Sevilla. Departamento de Geometría y Topología
Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Date: 2011
ISBN/ISSN: 9781618040022
2223-2877
Document type: Presentation
Abstract: In this paper we use some objects of Graph Theory to classify low-dimensional filiform Lie algebras over finite fields. The idea lies in the representation of each Lie algebra by a certain type of graphs. Then, some properties on Graph Theory make easier to classify the algebras. As results, which can be applied in several branches of Physics or Engineering, for instance, we find out that there exist, up to isomorphism, six 6-dimensional filiform Lie algebras over Z/pZ, for p = 2, 3, 5.
Size: 447.8Kb
Format: PDF

URI: http://hdl.handle.net/11441/59596

See editor´s version

This work is under a Creative Commons License: 
Attribution-NonCommercial-NoDerivatives 4.0 Internacional

This item appears in the following Collection(s)