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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Detalles Bibliográficos
Autores: Campoamor Stursberg, Otto-Rudwig, Oviaño García, Francisco
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/72639
Acceso en línea:https://hdl.handle.net/20.500.14352/72639
Access Level:acceso abierto
Palabra clave:512.554.3
Lie algebras
Solvability
Rigid
Cohomology
Jacobi scheme
Álgebra
1201 Álgebra
Descripción
Sumario: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.