TY - JOUR AU - Ancochea Bermúdez, José María AU - Campoamor-Stursberg, Rutwig AU - García Vergnolle, Lucía PY - 2006 SN - 1312-7594 UR - https://hdl.handle.net/20.500.14352/50562 T2 - International Mathematical Forum AB - Let g = s n r be an indecomposable Lie algebra with nontrivial semisimple Levi subalgebra s and nontrivial solvable radical r. In this note it is proved that r cannot be isomorphic to a filiform nilpotent Lie algebra. The proof uses the fact that any... LA - eng M2 - 309 PB - Hikari KW - Lie algebra KW - Levi decomposition KW - radical TI - Indecomposable Lie algebras with nontrivial Levi decomposition cannot have filiform radical TY - journal article VL - 1 ER -