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: Cagliero, Leandro Roberto, Tirao, Paulo
Formato: article
Lenguaje:Inglés
Publicado: 2022
Materias:
Lie algebra cohomology
Filiform Lie algebras
Torus of derivations
Module structure
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:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R141-11086-26154
record_format dspace
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Lie algebra cohomology
Filiform Lie algebras
Torus of derivations
Module structure
spellingShingle Lie algebra cohomology
Filiform Lie algebras
Torus of derivations
Module structure
Cagliero, Leandro Roberto
Tirao, Paulo
The cohomology of filiform Lie algebras of maximal rank
topic_facet Lie algebra cohomology
Filiform Lie algebras
Torus of derivations
Module structure
description 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.
format article
author Cagliero, Leandro Roberto
Tirao, Paulo
author_facet Cagliero, Leandro Roberto
Tirao, Paulo
author_sort Cagliero, Leandro Roberto
title The cohomology of filiform Lie algebras of maximal rank
title_short The cohomology of filiform Lie algebras of maximal rank
title_full The cohomology of filiform Lie algebras of maximal rank
title_fullStr The cohomology of filiform Lie algebras of maximal rank
title_full_unstemmed The cohomology of filiform Lie algebras of maximal rank
title_sort cohomology of filiform lie algebras of maximal rank
publishDate 2022
url 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
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AT tiraopaulo cohomologyoffiliformliealgebrasofmaximalrank
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