%0 Journal Article
%A Ancochea Bermúdez, José María
%A Goze, Michel
%T On the nonrationality of rigid Lie algebras
%D 1999
%@ 1088-6826
%U https://hdl.handle.net/20.500.14352/58412
%X In 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.
%~