RT Journal Article T1 On the nonrationality of rigid Lie algebras A1 Ancochea Bermúdez, José María A1 Goze, Michel AB 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. PB America Mathematical Society SN 1088-6826 YR 1999 FD 1999 LK https://hdl.handle.net/20.500.14352/58412 UL https://hdl.handle.net/20.500.14352/58412 LA eng DS Docta Complutense RD 10 abr 2025