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dc.contributor.author
Campoamor Stursberg, Rutwig  
dc.contributor.author
Cardoso, Isolda Eugenia  
dc.contributor.author
Ovando, Gabriela Paola  
dc.date.available
2019-09-24T21:40:36Z  
dc.date.issued
2015-10  
dc.identifier.citation
Campoamor Stursberg, Rutwig; Cardoso, Isolda Eugenia; Ovando, Gabriela Paola; Extending invariant complex structures; World Scientific; International Journal Of Mathematics; 26; 11; 10-2015; 1-25  
dc.identifier.issn
0129-167X  
dc.identifier.uri
http://hdl.handle.net/11336/84360  
dc.description.abstract
We study the problem of extending a complex structure to a given Lie algebra g, which is firstly defined on an ideal h⊂g. We consider the next situations:his either complex or it is totally real. The next question is to equip g with an additional structure, such as a (non)-definite metric or a symplectic structure and to ask either h is non-degenerate, isotropic, etc. with respect to this structure, by imposing a compatibility assumption. We show that this implies certain constraints on the algebraic structure of g.Constructive examples illustrating this situation are shown, in particular computations in dimension six are given.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
World Scientific  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Complex Structures  
dc.subject
Lie Algebras  
dc.subject
Extension Problem  
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Lie Algebras  
dc.subject.classification
Matemática Pura  
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Matemáticas  
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CIENCIAS NATURALES Y EXACTAS  
dc.title
Extending invariant complex structures  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2019-09-23T17:11:22Z  
dc.journal.volume
26  
dc.journal.number
11  
dc.journal.pagination
1-25  
dc.journal.pais
Singapur  
dc.description.fil
Fil: Campoamor Stursberg, Rutwig. Universidad Complutense de Madrid; España  
dc.description.fil
Fil: Cardoso, Isolda Eugenia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina  
dc.description.fil
Fil: Ovando, Gabriela Paola. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina  
dc.journal.title
International Journal Of Mathematics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1142/S0129167X15500962  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0129167X15500962  

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