%0 Journal Article
%T Some Features of Rank One Real Solvable Cohomologically Rigid Lie Algebras with a Nilradical Contracting onto the Model Filiform Lie Algebra Qn
%A Francisco Ovia£¿o Garc¨ªa
%A Rutwig Campoamor-Stursberg
%J -
%D 2019
%R https://doi.org/10.3390/axioms8010010
%X Abstract The generic structure and some peculiarities of real rank one solvable Lie algebras possessing a maximal torus of derivations with the eigenvalue spectrum spec ( t ) = 1 , k , k + 1 , £¿ , n + k £¿ 3 , n + 2 k £¿ 3 for k ¡İ 2 are analyzed, with special emphasis on the resulting Lie algebras for which the second Chevalley cohomology space vanishes. From the detailed inspection of the values k ¡Ü 5 , some series of cohomologically rigid algebras for arbitrary values of k are determined. View Full-Tex
%K real Lie algebra
%K solvable
%K rigidity
%K cohomology
%K contraction
%U https://www.mdpi.com/2075-1680/8/1/10