Local derivation on solvable Lie algebras with naturally graded filiform nilradicals
In this work, we study derivations and local derivations of finite-dimensional solvable Lie algebras
whose nilradicals are naturally graded filiform. Specifically, the general form of the matrices of
derivations and local derivations of these algebras is determined. We show that these algebras admit
local derivations that are not derivations.
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