Ancochea Bermúdez, José MaríaCampoamor Stursberg, Otto-Rudwig2023-06-182023-06-1820160024-379510.1016/j.laa.2015.09.041https://hdl.handle.net/20.500.14352/24280It is shown that for a finite-dimensional solvable rigid Lie algebra r, its rank is upper bounded by the length of the characteristic sequence c(n) of its nilradical n. For any characteristic sequence c = (n(1),..., n(k,) 1), it is proved that there exists at least a solvable Lie algebra re the nilradical of which has this characteristic sequence and that satisfies the conditions H-p (r(c), r(c)) = 0 for p <= 3.engjournal articlehttps//doi.org/10.1016/j.laa.2015.09.041http://www.sciencedirect.com/science/article/pii/S0024379515005686restricted access512.7Lie algebraSolvableRigidityRankCohomologyCharacteristic sequenceGeometria algebraica1201.01 Geometría Algebraica