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

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...

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Bibliographic Details
Authors: Campoamor Stursberg, Otto-Rudwig, Oviaño García, Francisco
Format: article
Publication Date:2022
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/72639
Online Access:https://hdl.handle.net/20.500.14352/72639
Access Level:Open access
Keyword:512.554.3
Lie algebras
Solvability
Rigid
Cohomology
Jacobi scheme
Álgebra
1201 Álgebra
Description
Summary: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.