Relations between combinatorial structures and Lie algebras: centers and derived Lie algebras
In this paper, we study how two important ideals of a given Lie algebra g (namely, the center Z(g) and the derived Lie algebra D(g)) can be translated into the language of Graph Theory. In this way, we obtain some criteria and characterizations of these ideals using Graph Theory.
| Autores: | , , |
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| Tipo de documento: | artigo |
| Estado: | Versión enviada para evaluación y publicación |
| Data de publicação: | 2015 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/47964 |
| Acesso em linha: | http://hdl.handle.net/11441/47964 https://doi.org/10.1007/s40840-014-0034-8 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Digraph Combinatorial structure Lie algebra Center Derived algebra |
| Resumo: | In this paper, we study how two important ideals of a given Lie algebra g (namely, the center Z(g) and the derived Lie algebra D(g)) can be translated into the language of Graph Theory. In this way, we obtain some criteria and characterizations of these ideals using Graph Theory. |
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