Campoamor Stursberg, Otto-Rudwig2023-06-202023-06-2020101751-811310.1088/1751-8113/43/14/145202https://hdl.handle.net/20.500.14352/43763The 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 the N-graded nilradicals and their associated solvable extensions are computed by the method of moving frames.engjournal articlehttps//doi.org/10.1088/1751-8113/43/14/145202http://iopscience.iop.org/1751-8121/43/14/145202/restricted access512Nilpotent and solvable Lie groupsLie algebras of Lie groupsOperatorAlgebra methodsSemisimple groups and their representationsÁlgebra1201 Álgebra