English   español  
Por favor, use este identificador para citar o enlazar a este item: http://hdl.handle.net/10261/125177
COMPARTIR / IMPACTO:
Estadísticas
logo share SHARE logo core CORE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Exportar a otros formatos:
Título

k-Leibniz algebras from lower order ones: From Lie triple to Lie l-ple systems

AutorAzcárraga, José A. de ; Izquierdo, José Manuel
Palabras claveGeneralized poisson structures
Nambu mechanics
Supertriple systems
Superalgebras
Equation
Branes
Fecha de publicación1-sep-2013
EditorAmerican Institute of Physics
CitaciónJournal of Mathematical Physics 54 (9): 093510 - 14 (2013)
ResumenTwo types of higher order Lie l-ple systems are introduced in this paper. They are defined by brackets with l > 3 arguments satisfying certain conditions, and generalize the well-known Lie triple systems. One of the generalizations uses a construction that allows us to associate a (2n - 3)-Leibniz algebra pound with a metric n-Leibniz algebra () pound over tilde by using a 2(n - 1)-linear Kasymov trace form for () pound over tilde. Some specific types of k-Leibniz algebras, relevant in the construction, are introduced as well. Both higher order Lie l-ple generalizations reduce to the standard Lie triple systems for l = 3.
Versión del editorhttp://dx.doi.org/10.1063/1.4819468
URIhttp://hdl.handle.net/10261/125177
DOI10.1063/1.4819468
ISSN0022-2488
E-ISSN1089-7658
Aparece en las colecciones: (IFIC) Artículos
Ficheros en este ítem:
Fichero Descripción Tamaño Formato  
k-Leibniz.pdf260,84 kBAdobe PDFVista previa
Visualizar/Abrir
Mostrar el registro completo
 


NOTA: Los ítems de Digital.CSIC están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.