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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Formato: | article |
Lenguaje: | Inglés |
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2022
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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: |
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I10-R141-11086-26154 |
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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 |
work_keys_str_mv |
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bdutipo_str |
Repositorios |
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