Combinatorial structures associated with Lie algebras of finite dimension
Given a Lie algebra of finite dimension, with a selected basis of it, we show in this paper that it is possible to associate it with a combinatorial structure, of dimension 2, in general. In some particular cases, this structure is reduced to a weighted graph. We characterize such graphs, according...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2004 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:dnet:idus________::684ce838d160a9232cab882eba0da60a |
| Acceso en línea: | https://hdl.handle.net/11441/183298 https://doi.org/10.1016/j.laa.2004.02.030 |
| Access Level: | acceso abierto |
| Palabra clave: | Combinatorial structure Weighted graph Oriented digraph Bracket product Lie algebra |
| Sumario: | Given a Lie algebra of finite dimension, with a selected basis of it, we show in this paper that it is possible to associate it with a combinatorial structure, of dimension 2, in general. In some particular cases, this structure is reduced to a weighted graph. We characterize such graphs, according to they have 3-cycles or not. |
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