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 <inline-formula><math display="inline"><semantics><mi mathvariant="fraktur">t</mi></...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/11/9/442 |
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| author | Rutwig Campoamor-Stursberg Francisco Oviaño García |
| author_facet | Rutwig Campoamor-Stursberg Francisco Oviaño García |
| author_sort | Rutwig Campoamor-Stursberg |
| collection | DOAJ |
| description | 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 <inline-formula><math display="inline"><semantics><mi mathvariant="fraktur">t</mi></semantics></math></inline-formula> and the eigenvalue spectrum <inline-formula><math display="inline"><semantics><mrow><mi>spec</mi><mrow><mo>(</mo><mi mathvariant="fraktur">t</mi><mo>)</mo></mrow><mo>=</mo><mfenced close=")" open="("><mn>1</mn><mo>,</mo><mspace width="0.166667em"></mspace><mi>k</mi><mo>,</mo><mspace width="0.166667em"></mspace><mi>k</mi><mo>+</mo><mn>1</mn><mo>,</mo><mo>⋯</mo><mo>,</mo><mi>n</mi><mo>+</mo><mi>k</mi><mo>−</mo><mn>2</mn></mfenced></mrow></semantics></math></inline-formula> initiated in a previous work is continued for arbitrary values <inline-formula><math display="inline"><semantics><mrow><mi>k</mi><mo>≥</mo><mn>2</mn></mrow></semantics></math></inline-formula>, obtaining new hierarchies of solvable rigid Lie algebras. |
| first_indexed | 2024-03-10T00:44:20Z |
| format | Article |
| id | doaj.art-a4464e64c6e445d09ed3fe96f405e506 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T00:44:20Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-a4464e64c6e445d09ed3fe96f405e5062023-11-23T15:02:05ZengMDPI AGAxioms2075-16802022-08-0111944210.3390/axioms11090442Computer-Aided Analysis of Solvable Rigid Lie Algebras with a Given Eigenvalue SpectrumRutwig Campoamor-Stursberg0Francisco Oviaño García1Instituto de Matemática Interdisciplinar, Universidad Complutense de Madrid, Plaza de Ciencias 3, E-28040 Madrid, SpainDpto de Geometría y Topología, Fac. CC. Matemáticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, E-28040 Madrid, SpainWith 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 <inline-formula><math display="inline"><semantics><mi mathvariant="fraktur">t</mi></semantics></math></inline-formula> and the eigenvalue spectrum <inline-formula><math display="inline"><semantics><mrow><mi>spec</mi><mrow><mo>(</mo><mi mathvariant="fraktur">t</mi><mo>)</mo></mrow><mo>=</mo><mfenced close=")" open="("><mn>1</mn><mo>,</mo><mspace width="0.166667em"></mspace><mi>k</mi><mo>,</mo><mspace width="0.166667em"></mspace><mi>k</mi><mo>+</mo><mn>1</mn><mo>,</mo><mo>⋯</mo><mo>,</mo><mi>n</mi><mo>+</mo><mi>k</mi><mo>−</mo><mn>2</mn></mfenced></mrow></semantics></math></inline-formula> initiated in a previous work is continued for arbitrary values <inline-formula><math display="inline"><semantics><mrow><mi>k</mi><mo>≥</mo><mn>2</mn></mrow></semantics></math></inline-formula>, obtaining new hierarchies of solvable rigid Lie algebras.https://www.mdpi.com/2075-1680/11/9/442Lie algebrassolvabilityrigidcohomologyJacobi scheme |
| spellingShingle | Rutwig Campoamor-Stursberg Francisco Oviaño García Computer-Aided Analysis of Solvable Rigid Lie Algebras with a Given Eigenvalue Spectrum Axioms Lie algebras solvability rigid cohomology Jacobi scheme |
| title | Computer-Aided Analysis of Solvable Rigid Lie Algebras with a Given Eigenvalue Spectrum |
| title_full | Computer-Aided Analysis of Solvable Rigid Lie Algebras with a Given Eigenvalue Spectrum |
| title_fullStr | Computer-Aided Analysis of Solvable Rigid Lie Algebras with a Given Eigenvalue Spectrum |
| title_full_unstemmed | Computer-Aided Analysis of Solvable Rigid Lie Algebras with a Given Eigenvalue Spectrum |
| title_short | Computer-Aided Analysis of Solvable Rigid Lie Algebras with a Given Eigenvalue Spectrum |
| title_sort | computer aided analysis of solvable rigid lie algebras with a given eigenvalue spectrum |
| topic | Lie algebras solvability rigid cohomology Jacobi scheme |
| url | https://www.mdpi.com/2075-1680/11/9/442 |
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