On Structure and Central Extensions of $(n+1)$-Lie Algebras Induced by $n$-Lie Algebras
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2014
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| _version_ | 1866909456554524672 |
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| author | Kitouni, Abdennour Makhlouf, Abdenacer |
| author_facet | Kitouni, Abdennour Makhlouf, Abdenacer |
| contents | The purpose of this paper is to investigate $(n+1)$-Lie algebras induced by $n$-Lie algebras and trace maps. We highlight a comparison of their structure properties (solvability, nilpotency) and the cohomology groups as well as central extensions. Moreover, we provide for dimensions $n$, $n+1$ and $n+2$, the classification of $n$-Lie algebras which are induced by $(n-1)$-Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1405_5930 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | On Structure and Central Extensions of $(n+1)$-Lie Algebras Induced by $n$-Lie Algebras Kitouni, Abdennour Makhlouf, Abdenacer Rings and Algebras Representation Theory The purpose of this paper is to investigate $(n+1)$-Lie algebras induced by $n$-Lie algebras and trace maps. We highlight a comparison of their structure properties (solvability, nilpotency) and the cohomology groups as well as central extensions. Moreover, we provide for dimensions $n$, $n+1$ and $n+2$, the classification of $n$-Lie algebras which are induced by $(n-1)$-Lie algebras. |
| title | On Structure and Central Extensions of $(n+1)$-Lie Algebras Induced by $n$-Lie Algebras |
| topic | Rings and Algebras Representation Theory |
| url | https://arxiv.org/abs/1405.5930 |