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Extending invariant complex structures

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Campoamor Stursberg, Otto Ruttwig y Cardoso, Isolda E. y Ovando, Gabriela P. (2015) Extending invariant complex structures. International Journal of Mathematics, 26 (11). ISSN 0129-167X

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URL Oficial: http://www.worldscientific.com/doi/10.1142/S0129167X15500962


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We study the problem of extending a complex structure to a given Lie algebra g, which is firstly defined on an ideal h subset of g. We consider the next situations: h is 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


Tipo de documento:Artículo
Palabras clave:Complex structure; extension problem; (extended) semi-direct products; Hermitian and anti-Hermitian structures; Lie algebras with complex structures
Materias:Ciencias > Matemáticas > Geometría diferencial
Código ID:34498
Depositado:01 Dic 2015 08:44
Última Modificación:12 Dic 2018 15:12

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