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.

Detalles Bibliográficos
Autores: Ceballos González, Manuel, Núñez Valdés, Juan, Tenorio Villalón, Ángel Francisco
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2015
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/47964
Acceso en línea:http://hdl.handle.net/11441/47964
https://doi.org/10.1007/s40840-014-0034-8
Access Level:acceso abierto
Palabra clave:Digraph
Combinatorial structure
Lie algebra
Center
Derived algebra
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spelling Relations between combinatorial structures and Lie algebras: centers and derived Lie algebrasCeballos González, ManuelNúñez Valdés, JuanTenorio Villalón, Ángel FranciscoDigraphCombinatorial structureLie algebraCenterDerived algebraIn 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.Ministerio de Ciencia e InnovaciónFondo Europeo de Desarrollo RegionalSpringerGeometría y TopologíaFQM326: Geometria Diferencial y Teoria de LieMinisterio de Ciencia e Innovación (MICIN). EspañaEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/47964https://doi.org/10.1007/s40840-014-0034-8reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésBulletin of the Malaysian Mathematical Sciences Society, 38 (2), 529-541.MTM2010-19336http://download.springer.com/static/pdf/477/art%253A10.1007%252Fs40840-014-0034-8.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs40840-014-0034-8&token2=exp=1477293922~acl=%2Fstatic%2Fpdf%2F477%2Fart%25253A10.1007%25252Fs40840-014-0034-8.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs40840-014-0034-8*~hmac=2de7c514149a8862b83f241051dda30e58bfb11512c6183009fe9e78d35adea9info:eu-repo/semantics/openAccessoai:idus.us.es:11441/479642026-06-17T12:51:07Z
dc.title.none.fl_str_mv Relations between combinatorial structures and Lie algebras: centers and derived Lie algebras
title Relations between combinatorial structures and Lie algebras: centers and derived Lie algebras
spellingShingle Relations between combinatorial structures and Lie algebras: centers and derived Lie algebras
Ceballos González, Manuel
Digraph
Combinatorial structure
Lie algebra
Center
Derived algebra
title_short Relations between combinatorial structures and Lie algebras: centers and derived Lie algebras
title_full Relations between combinatorial structures and Lie algebras: centers and derived Lie algebras
title_fullStr Relations between combinatorial structures and Lie algebras: centers and derived Lie algebras
title_full_unstemmed Relations between combinatorial structures and Lie algebras: centers and derived Lie algebras
title_sort Relations between combinatorial structures and Lie algebras: centers and derived Lie algebras
dc.creator.none.fl_str_mv Ceballos González, Manuel
Núñez Valdés, Juan
Tenorio Villalón, Ángel Francisco
author Ceballos González, Manuel
author_facet Ceballos González, Manuel
Núñez Valdés, Juan
Tenorio Villalón, Ángel Francisco
author_role author
author2 Núñez Valdés, Juan
Tenorio Villalón, Ángel Francisco
author2_role author
author
dc.contributor.none.fl_str_mv Geometría y Topología
FQM326: Geometria Diferencial y Teoria de Lie
Ministerio de Ciencia e Innovación (MICIN). España
European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)
dc.subject.none.fl_str_mv Digraph
Combinatorial structure
Lie algebra
Center
Derived algebra
topic Digraph
Combinatorial structure
Lie algebra
Center
Derived algebra
description 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.
publishDate 2015
dc.date.none.fl_str_mv 2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/47964
https://doi.org/10.1007/s40840-014-0034-8
url http://hdl.handle.net/11441/47964
https://doi.org/10.1007/s40840-014-0034-8
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Bulletin of the Malaysian Mathematical Sciences Society, 38 (2), 529-541.
MTM2010-19336
http://download.springer.com/static/pdf/477/art%253A10.1007%252Fs40840-014-0034-8.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs40840-014-0034-8&token2=exp=1477293922~acl=%2Fstatic%2Fpdf%2F477%2Fart%25253A10.1007%25252Fs40840-014-0034-8.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs40840-014-0034-8*~hmac=2de7c514149a8862b83f241051dda30e58bfb11512c6183009fe9e78d35adea9
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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