RT Journal Article T1 Rigidity-preserving and cohomology-decreasing extensions of solvable rigid Lie algebras A1 Ancochea Bermúdez, José María A1 Campoamor-Stursberg, Rutwig AB It is shown that the two-known series of rank one (Formula presented.) and rank two (Formula presented.) finite-dimensional solvable rigid Lie algebras with non-vanishing second cohomology can be extended to solvable rigid Lie algebras of arbitrary rank (Formula presented.) such that the cohomology is preserved exactly. For the second series, it is further proved that an extension decreasing the cohomology exists, hence leading to cohomologically rigid Lie algebras. PB Taylor & Francis SN 1563-5139 YR 2017 FD 2017 LK https://hdl.handle.net/20.500.14352/17813 UL https://hdl.handle.net/20.500.14352/17813 LA eng NO Ministerio de Economía y Competitividad (MINECO) DS Docta Complutense RD 28 nov 2023