2026-06-29T08:01:06Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/242482024-07-16T15:20:48Zcom_20.500.14352_14col_20.500.14352_15

Extending invariant complex structures Campoamor Stursberg, Otto-Rudwig Cardoso, Isolda E. Ovando, Gabriela P. 514.7 Complex structure Extension problem (extended) Semi-direct products Hermitian and anti-Hermitian structures Lie algebras with complex structures Geometría diferencial 1204.04 Geometría Diferencial 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 Ministerio de Economía, Comercio y Empresa (España) SCyT-UNR CONICET Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-18T06:48:19Z 2023-06-18T06:48:19Z 2015-10 journal article https://hdl.handle.net/20.500.14352/24248 0129-167X 10.1142/S0129167X15500962 eng MTM2013-43820-P open access application/pdf World Scientific