Ponencia
Low-dimensional filiform Lie algebras over finite fields
Autor/es | Falcón Ganfornina, Óscar Jesús
Núñez Valdés, Juan Pacheco Martínez, Ana María Villar Liñán, María Trinidad |
Coordinador/Director | Vasek, Vladimir
Shmaliy, Yuriy S. Trcek, Denis Kobayashi, Nobuhiko P. Choras, Ryszard S. Klos, Zbigniew |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2011 |
Fecha de depósito | 2017-05-10 |
Publicado en |
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ISBN/ISSN | 9781618040022 2223-2877 |
Resumen | 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 ... 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. |
Agencias financiadoras | Junta de Andalucía |
Identificador del proyecto | FQM-326
FQM-296 FQM-164 |
Cita | Falcón Ganfornina, Ó.J., Núñez Valdés, J., Pacheco Martínez, A.M. y Villar Liñán, M.T. (2011). Low-dimensional filiform Lie algebras over finite fields. En International Conference on Applied and Computational Mathematics (ICACM '11) (66-71), Lanzarote: World Scientific and Engineering Academy and Society Press. |
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