2026-06-27T12:36:11Zhttps://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

Campoamor Stursberg, Otto-Rudwig Cardoso, Isolda E. Ovando, Gabriela P. 2023-06-18T06:48:19Z 2023-06-18T06:48:19Z 2015-10 0129-167X 10.1142/S0129167X15500962 https://hdl.handle.net/20.500.14352/24248 https//doi.org/10.1142/S0129167X15500962 http://www.worldscientific.com/doi/10.1142/S0129167X15500962 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 eng open access Extending invariant complex structures journal article