%0 Journal Article %A Ancochea Bermúdez, José María %A Campoamor-Stursberg, Rutwig %T Classification of solvable real rigid Lie algebras with a nilradical of dimension n ≤ 6 %D 2015 %@ 0024-3795 %U https://hdl.handle.net/20.500.14352/24009 %X The complete classification of real solvable rigid Lie algebras possessing a nilradical of dimension at most six is given. Eleven new isomorphism classes of indecomposable algebras are obtained. It is further shown that the resulting solvable Lie algebras have a vanishing second Chevalley cohomology group, thus correspond to algebraically rigid Lie algebras. %~