%0 Journal Article
%A Ancochea Bermúdez, José María
%A Goze, Michel
%T Le rang du systeme linéaire des racines d'une algèbre de Lie rigide résoluble complexe
%D 1992
%@ 0092-7872
%U https://hdl.handle.net/20.500.14352/58431
%X One 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 .
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