Ancochea Bermúdez, José MaríaGoze, Michel2023-06-202023-06-2019920092-787210.1080/00927879208824380https://hdl.handle.net/20.500.14352/58431One knows that a solvable rigid Lie algebra is algebraic and can be written as a semidirect product of the form g=T⊕n if n is the maximal nilpotent ideal and T a torus on n . The main result of the paper is equivalent to the following: If g is rigid then T is a maximal torus on n . The authors then study algebras of this form where n is a filiform nilpotent algebra. A classification of this law is given in the case in which the weights of T are kα , with 1≤k≤n=dimn .frajournal articlehttp://0-www.tandfonline.com.cisne.sim.ucm.es/doi/pdf/10.1080/00927879208824380http://www.tandfonline.comrestricted access512.554.3complex solvable rigid Lie algebrafiliform nilradicaladjoint operatorÁlgebra1201 Álgebra