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 factor of the algebra of derivations of is known.
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| Main Authors: | , |
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| Format: | article biblioteca |
| Language: | eng |
| Subjects: | Lie algebra cohomology, Filiform Lie algebras, Torus of derivations, Module structure, |
| Online Access: | 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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