Ancochea Bermúdez, José MaríaGoze, Michel2023-06-202023-06-2019991088-6826https://hdl.handle.net/20.500.14352/58412In his thesis, Carles made the following conjecture: Every rigid Lie algebra is defined on the field Q. This was quite an interesting question because a positive answer would give a nice explanation of the fact that simple Lie algebras are defined over Q. The goal of this note is to provide a large number of examples of rigid but nonrational and nonreal Lie algebras.engjournal articlehttp://www.ams.org/journals/proc/1999-127-09/S0002-9939-99-04824-8/S0002-9939-99-04824-8.pdfrestricted access512.554.3Álgebra1201 Álgebra