Lagrangian extensions and left symmetric structures on the four-dimensional real Lie superalgebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910043005255680 |
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| author | Bouarroudj, Sofiane Radu, Ana-Maria |
| author_facet | Bouarroudj, Sofiane Radu, Ana-Maria |
| contents | Over real numbers, Backhouse classified all four-dimensional Lie superalgebras. From this list, we will investigate those Lie superalgebras that can be obtained as Lagrangian extensions. Moreover, we investigate left-symmetric structures on these Lie superalgebras. Furthermore, except for two of them, they are all Novikov superalgebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_01520 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lagrangian extensions and left symmetric structures on the four-dimensional real Lie superalgebras Bouarroudj, Sofiane Radu, Ana-Maria Representation Theory 17B05, 17B55, 17D25 Over real numbers, Backhouse classified all four-dimensional Lie superalgebras. From this list, we will investigate those Lie superalgebras that can be obtained as Lagrangian extensions. Moreover, we investigate left-symmetric structures on these Lie superalgebras. Furthermore, except for two of them, they are all Novikov superalgebras. |
| title | Lagrangian extensions and left symmetric structures on the four-dimensional real Lie superalgebras |
| topic | Representation Theory 17B05, 17B55, 17D25 |
| url | https://arxiv.org/abs/2410.01520 |