Computer-Aided Analysis of Solvable Rigid Lie Algebras with a Given Eigenvalue Spectrum

Abstract

With the help of symbolic computer packages, the study of the cohomological rigidity of real solvable Lie algebras of rank one with a maximal torus of derivations t and the eigenvalue spectrum spec(t)=(1,k,k+1,⋯,n+k−2) initiated in a previous work is continued for arbitrary values k≥2, obtaining new hierarchies of solvable rigid Lie algebras.