Construction of rank-one solvable rigid Lie algebras with nilradicals of a decreasing nilpotence index

Campoamor Stursberg, Otto-RudwigOviaño García, Francisco2023-09-082023-09-082023-07-3010.3390/axioms12080754https://hdl.handle.net/20.500.14352/87605It is shown that for any integers 𝑘≥2 , 𝑞≥2𝑘 and 𝑁≥𝑘+𝑞+2 , there exists a real solvable Lie algebra of the first rank with a maximal torus of derivations 𝔱 possessing the eigenvalue spectrum spec(𝔱)=(1,2,⋯,𝑘,𝑞,𝑞+1⋯,𝑁), a nilradical of the nilpotence index 𝑁−𝑘 and a characteristic sequence (𝑁−𝑘,1𝑘). .engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/Construction of rank-one solvable rigid Lie algebras with nilradicals of a decreasing nilpotence indexjournal articleopen access512.554.3Lie algebrasJacobi schemeSolvabilityRigidCohomologyÁlgebra1201.10 Álgebra Lineal