The cohomology of filiform Lie algebras of maximal rank
We describe the structure of the cohomology of the filiform Lie algebras and as a module over their (2-dimensional) torus of derivations. Our approach relies on the fact that both filiform algebras have an ideal of codimension 1 for which the structure of its cohomology under the action of the Levi...
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| Autores principales: | , |
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| Formato: | article |
| Lenguaje: | Inglés |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | http://hdl.handle.net/11086/26154 https://doi.org/10.1016/j.laa.2014.04.031 https://doi.org/10.1016/j.laa.2014.04.031 |
| Aporte de: |
| Sumario: | We describe the structure of the cohomology of the filiform Lie algebras and as a module over their (2-dimensional) torus of derivations. Our approach relies on the fact that both filiform algebras have an ideal of codimension 1 for which the structure of its cohomology under the action of the Levi factor of the algebra of derivations of is known. |
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