%0 Journal Article %A Campoamor-Stursberg, Rutwig %T Solvable Lie algebras with an N-graded nilradical of maximal nilpotency degree and their invariants %D 2010 %@ 1751-8113 %U https://hdl.handle.net/20.500.14352/43763 %X The class of solvable Lie algebras with an N-graded nilradical of maximal nilpotency index is classified. It is shown that such solvable extensions are unique up to isomorphism. The generalized Casimir invariants for theN-graded nilradicals and their associated solvable extensions are computed by the method of moving frames. %~